{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Example of CVA computation\n",
    "\n",
    "This example is taken from the following website: http://www.pricederivatives.com/en/derivatives-cva-example-monte-carlo-python/. We've taken advantage of some functionalities provided by pyql to simplify the computations."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "tags": []
   },
   "source": [
    "Here we’ll show an example of code for CVA calculation (credit valuation adjustment) with Python and Quantlib using a simple Monte-Carlo method for a portfolio consisting solely of a single interest rate swap. It’s easy to generalize this code to include more financial instruments.\n",
    "\n",
    "\n",
    "### CVA calculation algorithm\n",
    "\n",
    "1. Simulate yield curve at future dates.\n",
    "\n",
    "2. Calculate your derivatives portfolio NPV (net present value) at each time point for each scenario.\n",
    "\n",
    "3. Calculate CVA as sum of Expected Exposure multiplied by probability of default at this interval\n",
    "$$CVA = (1-R) \\int{DF(t) EE(t) dQ_t}$$\n",
    "where $R$ is the Recovery (normally set to 40%), $EE(t)$ the expected exposure at time $t$, $dQ$ the survival probability density, and $DF(t)$ discount factor at time $t$.\n",
    "\n",
    "### Outline\n",
    "\n",
    "1. In this simple example, we will use the Hull White model to generate future yield curves. In practice, many banks use some yield curve evolution models based on historical simulations.\n",
    "In the Hull White model, the short rate $r_t$ is distributed normally with known mean and variance.\n",
    "\n",
    "2. For each point of time we will generate whole yield curve based on short rate. Then we will price our interest rate swap on each of these curves.\n",
    "\n",
    "\n",
    "3. to approximate CVA we will use BASEL III formula for regulatory capital charge approximating default probability [or survival probability ] as exp(-ST/(1-R))\n",
    "so we get:\n",
    "$$CVA= (1-R) \\sum \\frac{EE^{*}_{T_{i}}+EE^{*}_{T_{i-1}}}{2} (e^{-\\frac{ST_{i-1}}{1-R}}-e^{-\\frac{ST_{i}}{1-R}})^+$$\n",
    "where $EE^{*}$ is discounted Expected exposure of portfolio."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Hull-White model for future yield curve simulations \n",
    "\n",
    "the model is given by dynamics:\n",
    "\n",
    "$$dr_t=(\\theta_t-ar_t)dt+\\sigma dW_t$$\n",
    "\n",
    "In the Hull White model, the short rate $r_t$ is distributed normally with mean and variance given by\n",
    "$$E(r_t|r_s)=r_se^{-a(t-s)}+\\gamma_t-\\gamma_se^{-a(t-s)}$$\n",
    "$$Var(r_t|r_s)=\\frac{\\sigma^2}{2a}(1-e^{-2a(t-s)})$$\n",
    "where $\\gamma_t=f_t(0)+\\frac{\\sigma^2}{2a}(1-e^{-at})^2$\n",
    "and $f_t(0)$ is the instantaneous forward rate at time $t$ as seen at time 0.\n",
    "The calculations will not depend on $\\theta_t$.\n",
    "To generate the future values of $r_t$, we use the [simulate_process](../_autosummary/quantlib.sim.simulate.simulate_process.rst#quantlib.sim.simulate.simulate_process) function which is a convenience function provided in the simulate module of pyql.\n",
    "After getting a matrix of all $r_t$ for all draws and time points, we will construct a yield curve for each $r_t$ using Hull White discount factors $E(r_{t_i})$ at each future date.\n",
    "\n",
    "$$P_{\\rightarrow T}(0)= E( e^{-\\int_0^Tr_sds})=E( E(e^{-\\int_0^Tr_sds}|\\mathcal{F}_{t_i}))=E(P_{\\rightarrow t_i}(0)E(e^{-\\int_{t_i}^Tr_sds}|\\mathcal{F}_{t_i}))$$ for each future time point $t_i$, $T$ being the maturity.\n",
    "\n",
    "also we'll output some generated yield curves."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "from quantlib.settings import Settings\n",
    "from quantlib.time.api import (Date, Actual360, TARGET, NoFrequency, Period,\n",
    "                               Years, Schedule, ModifiedFollowing, Following, Rule)\n",
    "from quantlib.termstructures.yields.api import DiscountCurve\n",
    "\n",
    "todaysDate = Date(26, 12, 2013);\n",
    "Settings().evaluation_date = todaysDate;\n",
    "crvTodaydates = [Date(26, 12, 2013),\n",
    "                 Date(30, 6, 2014),\n",
    "                 Date(30, 7, 2014),\n",
    "                 Date(29, 8, 2014),\n",
    "                 Date(30, 9, 2014),\n",
    "                 Date(30, 10, 2014),\n",
    "                 Date(28, 11, 2014),\n",
    "                 Date(30, 12, 2014),\n",
    "                 Date(30, 1, 2015),\n",
    "                 Date(27, 2, 2015),\n",
    "                 Date(30, 3, 2015),\n",
    "                 Date(30, 4, 2015),\n",
    "                 Date(29, 5, 2015),\n",
    "                 Date(30, 6, 2015),\n",
    "                 Date(30, 12, 2015),\n",
    "                 Date(30, 12, 2016),\n",
    "                 Date(29, 12, 2017),\n",
    "                 Date(31, 12, 2018),\n",
    "                 Date(30, 12, 2019),\n",
    "                 Date(30, 12, 2020),\n",
    "                 Date(30, 12, 2021),\n",
    "                 Date(30, 12, 2022),\n",
    "                 Date(29, 12, 2023),\n",
    "                 Date(30, 12, 2024),\n",
    "                 Date(30, 12, 2025),\n",
    "                 Date(29, 12, 2028),\n",
    "                 Date(30, 12, 2033),\n",
    "                 Date(30, 12, 2038),\n",
    "                 Date(30, 12, 2043),\n",
    "                 Date(30, 12, 2048),\n",
    "                 Date(30, 12, 2053),\n",
    "                 Date(30, 12, 2058),\n",
    "                 Date(31, 12, 2063)]\n",
    "crvTodaydf=[1.0,\n",
    "            0.998022,\n",
    "            0.99771,\n",
    "            0.99739,\n",
    "            0.997017,\n",
    "            0.996671,\n",
    "            0.996337,\n",
    "            0.995921,\n",
    "            0.995522,\n",
    "            0.995157,\n",
    "            0.994706,\n",
    "            0.994248,\n",
    "            0.993805,\n",
    "            0.993285,\n",
    "            0.989614,\n",
    "            0.978541,\n",
    "            0.961973,\n",
    "            0.940868,\n",
    "            0.916831,\n",
    "            0.890805,\n",
    "            0.863413,\n",
    "            0.834987,\n",
    "            0.807111,\n",
    "            0.778332,\n",
    "            0.750525,\n",
    "            0.674707,\n",
    "            0.575192,\n",
    "            0.501258,\n",
    "            0.44131,\n",
    "            0.384733,\n",
    "            0.340425,\n",
    "            0.294694,\n",
    "            0.260792\n",
    "            ]\n",
    "\n",
    "crvToday = DiscountCurve(crvTodaydates, crvTodaydf, Actual360(), TARGET())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "['3M', '6M', '9M', '12M', '15M', '18M', '21M', '24M', '27M', '30M', '33M', '36M', '39M', '42M', '45M', '48M', '51M', '54M', '57M', '60M']\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "months = range(3, 12 * 5 + 1, 3)\n",
    "sPeriods = [\"{}M\".format(month) for month in months]\n",
    "print(sPeriods)\n",
    "\n",
    "Dates = [todaysDate] + [todaysDate + Period(s) for s in sPeriods]\n",
    "T = np.array([Actual360().year_fraction(todaysDate, d) for d in Dates])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 800x500 with 1 Axes>"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "0006fdc14a97445f8960c924e58e30bd",
       "version_major": 2,
       "version_minor": 0
      },
      "image/png": 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",
      "text/html": [
       "\n",
       "            <div style=\"display: inline-block;\">\n",
       "                <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
       "                    Figure\n",
       "                </div>\n",
       "                <img src='' width=800.0/>\n",
       "            </div>\n",
       "        "
      ],
      "text/plain": [
       "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from matplotlib import pyplot as plt\n",
    "import matplotlib\n",
    "matplotlib.rcParams['figure.figsize'] = (15.0, 7.0)\n",
    "\n",
    "from quantlib.processes.api import HullWhiteProcess\n",
    "from quantlib.sim.simulate import simulate_process\n",
    "from quantlib.time_grid import TimeGrid\n",
    "\n",
    "Nsim = 1000\n",
    "\n",
    "#parameters calibrated with Quantlib to coterminal swaptions on 26/dec/2013\n",
    "a = 0.376739\n",
    "sigma = 0.0209835\n",
    "\n",
    "hw = HullWhiteProcess(crvToday, a, sigma)\n",
    "grid = TimeGrid.from_vector(T)\n",
    "rmat = simulate_process(hw, Nsim, grid, 1, antithetic=False)\n",
    "dT = np.diff(T)\n",
    "\n",
    "#check that bond prices match the original discount factors\n",
    "bonds = np.empty_like(rmat)\n",
    "bonds[1:] = np.exp(-(rmat[1:] * dT[:,None]).cumsum(axis=0))\n",
    "bonds[0] = 1\n",
    "bonds_mean = np.mean(bonds, axis=1)\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(8, 5), layout='constrained')\n",
    "ax.plot(T, bonds_mean, label=\"simulated bond prices\")\n",
    "ax.plot(T, [crvToday.discount(t) for t in T], label=\"discount factors\")\n",
    "ax.set_xlabel(\"T\")\n",
    "ax.legend()\n",
    "fig"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "bondTmean-Terminal bond\n",
      " [0.     0.0056 0.0053 0.0048 0.0046 0.0056 0.0058 0.0065 0.0061 0.0057\n",
      " 0.0053 0.0056 0.0047 0.0048 0.004  0.0041 0.004  0.0036 0.0042 0.0034\n",
      " 0.004 ]\n"
     ]
    }
   ],
   "source": [
    "from quantlib.models.shortrate.onefactormodels.hullwhite import HullWhite\n",
    "\n",
    "start_date = Date(26, 12, 2013);\n",
    "hw_model = HullWhite(crvToday, a, sigma)\n",
    "crvMat = np.empty((len(T), Nsim), dtype='object')\n",
    "crvMat[0] = crvToday\n",
    "for i in range(1, len(T)):\n",
    "    crvDates = [Dates[i] + Period(k, Years) for k in range(21)]\n",
    "    crv_row = []\n",
    "    for n in range(Nsim):\n",
    "        rt = rmat[i, n]\n",
    "        crvDiscounts = [hw_model.discount_bound(T[i], T[i] + k, rt) for k in np.arange(21.)]\n",
    "        crvMat[i, n] = DiscountCurve(crvDates, crvDiscounts, Actual360(), TARGET())\n",
    "\n",
    "bondT = np.zeros_like(rmat)\n",
    "for n in range(Nsim):\n",
    "    for i in range(len(T)):\n",
    "        bondT[i,n] = bonds[i,n] * crvMat[i,n].discount(19 - T[i])\n",
    "\n",
    "bondTmean = np.mean(bondT, axis=1)\n",
    "np.set_printoptions(precision=4, suppress=True)\n",
    "print('bondTmean-Terminal bond\\n', bondTmean - crvToday.discount(19.))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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H7LgzyFpbWykvL+eRRx7B5XLx29/+9nQPSRAE4ZQTAaogCMekq6uLX/3qV7S2tqLT6ZgwYQLLli1j/vz5p3toXypvvvkmV199NZmZmSxZsuSoraUEQRC+rMQUvyAIgiAIgjCkiEb9giAIgiAIwpAiAlRBEARBEARhSBEBqiAIgiAIgjCkfGkWSSmKQmNjI4mJiUfcHk8QBEEQBEE4fVRVpaurC6fTiSwfOU/6pQlQGxsbj7oHtCAIgiAIgjA01NXVkZ2dfcTzX5oANTExEYh94KSkpNM8GkEQBEEQBOHTOjs7ycnJicdtR/KlCVD7pvWTkpJEgCoIgiAIgjCEfVY5plgkJQiCIAiCIAwpIkAVBEEQBEEQhhQRoAqCIAiCIAhDighQBUEQBEEQhCFFBKiCIAiCIAjCkCICVEEQBEEQBGFIEQGqIAiCIAiCMKSIAFUQBEEQBEEYUkSAKgiCIAiCIAwpIkAVBEEQBEEQhhQRoAqCIAiCIAhDighQBUEQBEEQhCFFBKiCIAiCIAjCkCICVEEQBEEQhK+gzkiU9zydlPsCp3soh9Ce7gEIgiAIgiAIJ587FOGTjm7WebtZ5/Wxq9uPAvw4J42bi7NO9/AGEAGqIAiCIAjCl1BDIMQ6bzefdPhY6+2msid4yDVZmm60wS5ABKiCIAiCIAjCIFJVlSp/LCBd2xHLkNYFQodclys1MkzZxgh2M4I9GAN+HJGLgVmnftBHIQJUQRAEQRCELxhFVdnrC7DW2806bxfrvF20htUB10iqQgEHGM5uRrCb4ewhUe2mLZDCzraZPOm+jp0taVx3hpHJY0/TBzkCEaAKgiAIgiAMcWFFZUdXD6vcjaxtb2ezT6ZTGRjGadUwRVT2Zkd3U0I5SToTZvMwWkLj2dT8ddZUW9jjigy4r7rDfio/yjERAaogCIIgCMIQ0+lvZa37AGva2tjULbEzlEoAfe/Z2H8Nqp8SyhnBbkrlA5RZJKyWIiwJwzCYzmaPO5P3KwMsX+2iwevvvTeCJMGEXCsLRjlYMMpBUZrltHzGoxEBqiAIgiAIwmkSiXTj81Xi6qrkkzYPG7sltgVt7FPziUgGIDN+bYLaxQhpL2N0LUyyKIxLtpNsKcFimYvRmE13MMpHFa0sX+Pig70tdAb2xu81aGVmlaSxYFQ6c0c4SEs0nIZPe+xEgCoIgiAIgnCSKUoQn+8APl8F3b4KGjtr2ditsCPsoJxRVFGEKg3rv0GCFDop07cwKSHKDGsyZakFWBKmIsv6+GXNHQFe2OZi+e6NrNvvIRRV4udSE/TMG5HOglEOZpWkYdJrTuVH/lxEgCoIgiAIgjBIVDWK319Lt6+C7u6KWEDaXUGD38tedTh7GcVeRlEvLYjdIPXfm6npYVJChOnWZGan51GUkIwkSZ96vsre5k6W73KxfI+L7fUdA84X2BPiU/cTcq1o5IH3f1GIAFUQBEEQBOE4qapKMNgcz4h2d5fj81Xg8+0jqgRpwcFeRlHOSPZyLi4pc0AwClBkVJieksTMVBtTkxNwGvWHfVckqrC+uo33drewfE8zdW3++DlJgvE5KSwYlcGCUekUpVkOCWq/iESAKgiCIAiCcBThcDvd3bFA1HdQZjQS6QRAQaKR7N7s6EL2SqNoJ3XAM2Sg1GJieoqFaSkJTEm2YNcfOQzrDkZYWdHK8t0u3t/bQoc/HD+n18rMKrazYJSDuSPTSU80HtPn8Pv9eDwe3G73gB/jxo3jjDPOOP4v5iQSAaogCIIgCAIQjfbg8+3rDUbL8fUGpaFQy8DrkKmhgHJpDpXyRPaoxXSqA4NEnSQxPsnMtOQEpqZYmJycQJL26DWgrs4A7+1xsXy3izX7BtaTWs065o6ITd3PHmbHfITgVlEUOjo6DglC3W43Pp/vsPe0tLQc9vjpJAJUQRAEQRC+MhQliN9fj99fi99fg99fh99fi8+3D3+gDlAPuSeMlnr9dPZpp7FbLWZnKJUeRe59YOw/JllmUrKZacmxDOmEpARMGvmoY1FVlQpXN8t3N7N8Twvb6rwDzufZzCwYGQtKJ+ZZ0R70vGAweNhsqMfjIRqNHvGdiYmJ2O12bDYbdrsdu91Oenr6MX13p5IIUAVBEARB+FIJh734/bX0+GsI+Ovo8dfGA9Jg0MXhgtA+Op0NTUIp1drJ7GEY24M2tvlkgmEV+mfZSdLKTE22MC3FwvTkBMYkmtEdw4KkSFRhY007y3e7eG+PixpPz4Dz43JSWDDKwcJRDgrtZrq7u3G73WzauG9AINrV1XXEd2g0Gmw224AgNNFsxiiphHp8+Nrb6G5vo3PnJvYd2ENu2QRmf/Oazxz7qSQCVEEQBEEQvlBUNUog0Iw/0Bd4DvzRVxt6JBqNGZMpF5MpF4MhB7++iP1qPttDNtZ3KWzv7CE6IIZVSdNrmZqcEAtIUyyMSDCiOcbFSL5ghFWVrby7O9aftL1nYD3p9IJUpueaGZUcRenx4nZvZcXLbp73eAiHw0d8bkJCAtaUFJISzJj1OgyoaMIhlJ4uerxeunfs54C3nR3edtRwFKMmAZM2EZPGEv9vvraUnk9q4ZvH9FFOGRGgCoIgCIIw5ESj/vj0e/xHPCBtQFVDR71fr09Da8zHbxhOp7YAr8aJFztuNYmWsIamYISm7hAuT4Sw2heNdsfvzzbqmJZsiS9qKjQZjmt1fEtXgBV7Wli+28XH+9yEIv31pBa9RKlVpUDfhTXQjL/OS3MdNB/mOZIkYTEaMGm16IkiBYOovk7C3jYCFR46olECsumQwDNZk0iGNhOTLhFTpgWjJuGIY21UxVangiAIgiAIqKpKONwWDz57/LUEev/r99cesjDp04KShW79KHz6Ejq0eXTIGbSRiltJoCWiozkUpbUrAofMhHcf8iwJKDIb4vWjU1Ms5Byh5dPRPs++lm7e3tHI2zub2NU8cEFSohQkR24nV+MlXepC7m1f2tcwSgPolAhSoAeluws52IMuFMGs6EmIB58WTJpETAcHnloLGunYGvArqkpAhYCi4lcgoKqEJAlr6cjj+qyngghQBUEQBEE4KRQlQjDYeFAN6ME/6ohGDw0WVaCbRDzk06nJpktXRIecTbvsoE1NpjVqpiWioSuqQojYj4FvBYLxn+kliQyDDqdBR4ZBR6ZBh9OgH3AsXa87pvrR+BhVFZ/Ph6ullTUVzXy0r43Nrght4YFhlV3qJkfjJVf2kiL5kVCRwkE0wSD6cBRTVCYhqiNFNWGRLJg1iRi1FszGRIwWC3r52LcjDaoq/mgs6AwosSA0oPYHolHJh2xRSCt24izMIDPTjNaqsLN7I4nmlGN+z6kiAlRBEARBEE5YJOI7dAq+J/a/A4FGVDUSvzaKjJcU2rDRzmjasNGpycGryaIdOx41kdaokZDaGywOjDUPEpuST9TIvYFmf8CZ2Rt0xoJPPTad5oQb1wf8PTTW1NBUX0+Ly0Vbexvurh4q/CZqosnURVMIouu9WouMQqbcSS7tFCltpEXCJAT1JKsmrGomNikFizYZo9aMpDu2MakaiYhOJqCCL6zQ5Y8SiKr4BwSisW9EIkqypgmrtgGD1o2clEjG8FJGz5uLNc1GWAmzc/9a9qy8m+4XN2KtbKG4SWX3RRMZ/scnT+g7OllEgCoIgiAIwhGpqkoo1HpIBrQvKxoOewAIoaeN1N7gM5U2JtDGAtolO+1SJu1YaVcTUD69nZJCvFXTwew6LZmfCjgzDfr4sUyDDstn9BU9Fl1tbio2fEJDbS3tXi+dPT30hMKEkIhqdSDJ+FUtddEUahUbTUoBUfrbPRmJMJweJqFwBmayFAcmcpCQYvP2RxqiLKFJ0oNJOyAA7fSFafOG6PCFCSgQOdytcpgkTQMOXRVWbT1WbQMp2gY8eiNu52xsExZTPHYWkiRRu2MtG569A9/mjSRXNJPpURj7qeel1R+ayT7dJFVVj9xr4Quks7OT5ORkOjo6SEpKOt3DEQRBEIQvlHC4nc7O7YdMx/f01NGtynjigaftoEDUFvuvZKMbyzG9RyuBQ98XZA4MOPt+OAw6DPLRe4ieKEWJcmDHdratX0dNTQ3dEQXFYIrtGXoQr2KkTkmhLmqlRU3g4H1K04FZaDkTPWVo0H4q6JYTtGiSDGiS9GiSDJCgJUgsAO3wRWj3BnG7/XhdfiLhw0TnvSxWA5ZULWqkHlPPVkoiq8nSHsAstyNJEFK17DWNx1+wgLzpF5Oelo1nyyccWLkM35ZNJFU0k+A/9PneDAuMGY5z+lwyps1BX1BwyrZHPdZ4TWRQBUEQBOErSFWjdHZuw+NZiduziu1dnVQyrDcAtdHOGfFsaFA6tq00TbI8oNYz8zA1n3a9FvkU7hWvqirNjQ1sXbuG/ZWVtPt8RLW9C6C0xngkZFIMdEdt1CrJ7FVNuD6V+hyOzCyNnjMTzQy3mtEmG5DjQageOUlPRCPT4QvT3uqnvbmH9uYevPtb6fQEjth6VdZIpDjMWB1mUjLMWDMSCIbq6dr3JtbGdxnevQuNpMazsR6S2ZVyLtqR51JUNJWc8grq166g5rHv465uQaNAErEfAEEtuPKTkMaMIGv6XIadcT661NTDD2YIERlUQRAEQfiKCAZdeDyr8LR9RItnHbuiTjYyhU1MwSOlHfVeq1Zz0HT74Ws+k7QnXu85WBRFweVysXfHdir27Ka13UvkUxlOVQGtaiUSTaVHTcStGtgqqbQfFBJpJYmp6YnML7Izr9RBdlYSkkGDqqh0egJ4ewPQ9mZf7L8uH0Hf4SbkYwxmLdaMBKwZ/YGo1WEmyW4kGg1TseE9ura/TlbLR+SojQPurZLzaXbMJiV1Iul+mbaNa+nZsgV9a8ch72mzQH2BBalsJNnT5zN2xmISzMmf81sdPMcar4kAVRAEQRC+pBQliNe7CU/bSto8K3H7qtnBODYyhS1MxCclxq81yTAjJYl8k/6Qms8Mg+4zt+08XSKRCI2NjVRXVVGxezdNLS1Ee0MbVYVuVU+HYiKsWPGpFjyqgUbkw669SjRqmTsinQWjHMzITSXSEYplQV39gai3pQclcoTQSYLEVCPWvgA0wxwLSB0JmBJ1A4L3jrZWKte8DOVvM6xrHUn0t6UKqRr2ymWE5dFYlVTYX4V/+3bkwMCWBYoE1elQnWdEGjOC7BkLmFR2Ns5E5+f+Xk8WMcUvCIIgCF9BPT01tLWtwtO2kvb2tbRHtWxmEpu4iB2UEZb6Wxel6jQssidzjj2ZWdbEIRuEHiwYDFJXV0dtbS1V+/fT0NRENKrgQ49XMeFVHXgVE91KAm0YCX16UVYvvVamKM1CSboFp15HNhqcYZluVw+ebVU80773iGPQ6OTYtHxGbGremhkLRpPTzej0R164VbdvBw2fvERizXsMD+5kkhSrD1VVaO1Opt43HG3QhtHVie5AFTpc8UBaBnwGqMiS2JetITK6mNxp85hWOIezU0eikT//grGhRASogiAIgvAFFo320N7+CZ62j/B4VuL31+DCwSamsJEbqZBGoB606jzPqOfstFhQOjk54Zi36zxdfD4ftbW11NTUUFNTy75GD+2KEa9qwqsa8SrD6VBNhI+wXF4H5CcaGeZMYnhuCsMciRSmmpFdAWp3eKje7MbfFaYD+PSEuSlRhzUjITYl7+jPiiamGpGOoW9qJByiYuMKOre9jrPlQ3KVBnIAJQqBNj1VnnT8XTZ0LX7o6sZIPVAfX7nfZIXybInyLInu4VkUjjuTGdkzWZwxmQTdkXeG+jIQAaogCIIgfIHEmsRX9E7br6LduwFFDVFNAZuYzkbp59SRN+CeMospHpSOSDCe9jrRo/F6vVRXV7N9Xx3bqluo9YbwqibaFRMdagZhsg57nxbIRaZAo2VYuoURRamMKnNQkJWEViPT0xmieoebqpUtfLCnbcDqeb1Ji7M4uT8Y7a0PNVp0h33X0XR6PVSufhm1/C1KOtcyCh8Rv0yPW0+jOxlvWwp4okhKrL+WjlYAQho4kAnlWRLl2RJNBUmUFs9ghnMGi53TcVqG7rT9ySACVEEQBEEY4sLhTtraV9PmWYmnbSXBYDMRNOxlFJu4is3SNNz0r8zWSDAjxcLZ9mQW2ZPJPs5tO08VRVHYU93Iuj01bK9uZV+rj5agFq9qJIwWyDjkHo2qkiNpKECmgNh/S+wJFJemkzjKhj4nMZ7dbG/2sf29Oqq2uWmu6hiwkj4x1UjBWDv5Y+04S1LQfI7yhoYDu6hb9xKWmvcY1rOD0i4Jf6uebrcelzuDqK//2RJhALwJ/dnR8iyJukwtozLHMsM5g+udMxhlG/Wlm7Y/HiJAFQRBEIQhRlUVurp24vF8hKdtFZ2dW1HVKAGMbGccm6RvslWaTLfa3/7JJMvMtSVyjj2ZebYkrLqh81e8qqq0dgfZ29TJ5n2NbK9pZb+7h6YeiZDaF4TpgJT4PZKqYFODFKgSo+RECiUtBcjkSDJ6nQZDcQrGEakYR6SiTY7V1SqKSvOBDqq2uana7sbr6hkwjrTcRArG2ikYa8eWZTnhTHI0EqFi0wq8W18js/5D7K2t6N06/K16qjxpKJGBwa4qQX26hj1OJR6UtqRAXnI+0zOn8z/OGUzOmIxFf2y9ZL8Khs7vXkEQBEH4CguG3LR5Youb2to+JhxuA6CDJLYwhy2aOWxXhhPqq7VUwabTssiexNlDZJGTqqq4u0NUurqocHWxt7mTXXUeDnj8+MKfvjoWgkioJOHHGvbijPgZpRqYoHMwUpeK7qAAUpNqxDjcimmkDUNBMpIu9lnDoSgHtrZStd1NzY5YPWkfWSORPdway5SW2bFYj62f6+F0dbRR8fErqBtfxVm1jRS3gsGtx9+hpU61Dbg2bNRSla1jW0aA8iyJSqeE3yiRqE9hWuY0rnVOZ3rmdLITs094PF92IkAVBEEQhNNAUcJ0dGyJt4Dq6t4VP9dMBlvkS9mqmcOuSAYqUnw70DyjnnN660knncZFTp7uIBWubipbYsFohaubiuYuvP5DIlEgFogmSkGssh+76iO5u4kMv4cxSgJ5piIyzQXodP0dBpBBn5eMaWRvljTNFM949nSGqF7vpmqbm7o9bUQPqic1mLXkjbaRX2Ynr9SG3nTioU5DxQ4aX30I07bVJDW7SXTriAY0dGAacF1PWiIHcvWst3ewJ0ulNk1FlcNoJD1laWVc7ZzODOcMSm2laGUReh0L8S0JgiAIwini9zfQ1rayN0u6hmg0tge6ClRTyHb919jIJA6ELbGDvcu5yxJNnGNP5uzTsMip3ReKBaAt3fHMaKWrG48vdIQ7YoFoiuQnRfKTro+QpfVjaauB1kZS1USyzMU4TSNJTc0c8FnkBC3G4bGA1FhiRe4NLlVVxevqiU3db2uluapzYD2pLVZPWlBmJ/Nz1JMGW1o48NKTBD5+F3NNDapHxaLExucjln1VZYnOHCs1xUl8nOpmm8NPe6If8AOQm5jHN5zTme6czpSMKSTqE4/0OuEoRIAqCIIgCCdJNBrA612Pp20lHs9Kenr2x89F0FCpmckOw7msCxfjimjpXT+DtneR06LeoDTrFCxyCoSj7GjoiAegfVlRd/fhWtrDwEA0QIocC0hzU/TYDFqU9lY695UjB4JkmPLJNJfgdJyNSTOwzlLnTIjXkuqz+xc4KYpK4z5vPCjtaPEPuC89L5H8MjsFY9OwZSWcUNCuRiJ4V35E/ZP/Rd61B7kj9lmN9CWsJVSDhCc3ldoRdtZldrM6qZmwrhPoBCBRl8T8zKlM7w1KcxJzjnscwqFEgCoIgiAIg0RVVXp6DvQGpB/h9a5HUfoDvABmKs0XsUU+g7WBdDqj9CXeMGtk5qb2L3JKOQWLnFRVZXt9B0s31fHa1kY6A4ffqtOqV0hSfSQq3fFANFkKoJMUMhwOUpMSkbuDdOyrxVteTUibgtNcxNikc3E4cpGl/tXokl7GUGzFOMKKaXgqmuT+af1wMErdnjaqtrVSvcNDoPugelJtbz1p2eerJ1WjUbwfr6L+sQfQbN6OFIgOCIa0SVFas5KpGJHJlhIdK7X7iaj9XVI1kpZx9jHMcM5gunM6o+2jxbT9SSC+UUEQBEH4HCKRLtrb1+LpbQEVCDQMOO/Xl7DXdAmfKGNY7zMR9PfPTds/tcjJeIoWObV2BXllSwNLN9VR4eqOH081a8lOgCS1G62vFUu0i2TJj653xyONXoPT6SQrswhdyE939X7qN3xEva+HNGM2eeYipmfNJ0k/cNGQJtWIqTdLaihMRtL2f86ezhDV22NZ0rq97YfWk46xUVCWRu6o1BOuJ1WjUTrXraXusfuRNmxB9vcHpRpDlHAObBydw4bRNrZpGvGGOoCq3pshy5LFTOdMZjhnMDlzMkl6saX6ySYCVEEQBEE4Dqqq0N29Jx6QdnRsRlX7M4+SpKcncQHb9AtYE8xjc7eCGk8EquSb9JzTu73oxFO4yCkcVXh/bwtLN9bzYXkLESUWKOs1EmWpKpmBaqyhVuSu/nv0Rj05OQXk5uaSYjTQ01hLzdaN7F7+KnrJSKa5kPHmeWTaC9DJBy9wkjDkJ/W3gTpogZOqqrQ1+aja1krVNjeu6iPUk45NI7M4+YTrSVVFofOTT2JB6fpNyD2R+F5TGr1COFdl1bgc3is1Uh6qBVog2gJRsOgsTMmYwgxnrFF+TpKYtj/VTihAXbJkCX//+99pamqitLSUf/7zn8yaNeuI13/00Udcf/317Nq1C6fTya9//Wuuvfba+PmXXnqJv/zlL+zbt49wOExJSQk33HADV1111YkMTxAEQRAGVSjURlvbx72Lm1YRCrkHnDca82lNOp9NTOUjXzIVXX0LiGLZwHGJZs62J3F2WjLDzad2kdPe5k6WbqznlS0NAxY2FSbL5KvNOIL1GLqiAJjMJvLy8sjLyyPb6STkdlG9bRMVSx+js7UFq95BprmIkRlXkmr49AInHcbh1lhQOsyKbOwPMRRFpWmfNx6UdrQeWk/aF5SmOk+snhRiQWnXpo3UPXo/rNuA7OvfAFXWKURyFT4uy+LdMWYqwnVAC4RAQmKMfQwzsmIB6Wj7aHTy8e8iJQye4w5Qn3vuOX7xi1+wZMkSZs6cyf33388555zD7t27yc3NPeT6qqoqzj33XH7wgx/w5JNPsnr1aq677jrS0tK45JJLAEhNTeX3v/89I0aMQK/X88Ybb3D11VeTnp7OokWLPv+nFARBEITjoCgROru24fHEWkB1du3g4DSfRmPGkjKTauMi1kVGsKJDoam1L00aQivBzJREzk5LZpEtCecp3snJ2xPitW2NLN1Yz46G/h3mkw0SI41dZPirSAkGANDpdYwYMYqysjLSUpKo3baF/auWs37nNgipOEx5DDdPIDO36NAFTlmWeFB68AIn6K0n3X1QPanv0/WkqbH+pGPsWKwGTpSqqvi2bKbm0fthzTrk7jB9OVdZpxDOUVhdlsk7o81URhsAD4Q9SEhMdExkYf5C5uXOI92cfsJjEAafpKqq+tmX9Zs6dSoTJkzg3nvvjR8bOXIkF154Ibfffvsh1//mN7/htddeY8+ePfFj1157Ldu2bWPt2rVHfM+ECRP42te+xh//+MdjGldnZyfJycl0dHSQlCRqQwRBEITjEw534PF8SKv7PdraPiYS6Rxw3mIZgSnlLHZqZ7HKn8aKtm46I/31kgkambmpSZyTlsy81ESST/FOTlFFZVVlK0s31bN8l4tQNDY2rQzDLCGcgRqcUgeypCJJEoWFhZSVlZGVZqd60yeUr11F8/5KLNoUMs1FOM1FpBlz0RxmgVOsntSKJmlgYOnrCMbqSbe7qd/TTjRyhHrS0lT0xhP/flRVpWf7dqofuQ9Wr0Hu6s8My1qFcLbC6rIM3hpjZL/S3H9OkpnsmMyCvAXMy5uH3WQ/4TEIJ+ZY47Xj+t0RCoXYtGkTv/3tbwccX7hwIWvWrDnsPWvXrmXhwoUDji1atIiHHnqIcDiMTjcwha6qKu+//z7l5eX87W9/O+JYgsEgwWD/ysjOzs4jXisIgiAIhxMINuNufY/W1ndp934yoJZUq00mNXUmatJcNjGW99phVWMXIVWlr8WQXaflbHsyZ6clc0aK5ZQtcjrYgdZuXthUz0ubG2juDMSPO80KedFG8mjFGIqADE6nk7KyMvKzMmncsZVdLzzBexV7SdSlkm8pZXz2mSTpPrXAyWbENPzwC5xUVaW9qYeq7b31pFUD/y5OshspKEujYKydzOJk5M/x/aiqSs+uXdQ8ch/qxx8jdwTjmVJJqxDJVvh4jIO3xhg5oLoALyigkTRMzpjMwvyFzM2Zi81kO8pbhKHiuAJUt9tNNBrF4XAMOO5wOGhubj7sPc3NzYe9PhKJ4Ha7yczMBKCjo4OsrCyCwSAajYYlS5awYMGCI47l9ttv59Zbbz2e4QuCIAhfcbE2UPtpbV1Oa+u7dHZtH3A+IaGENPt8ui1zWRXI5B13Nxv3+1DpD7wKTQbOtidzTloyE5LMp2Unp+5ghDe3x6bwN9a0949fC4VaD/lKMzalBySwWq2MGTOGkvx83BW7KH/rZVaX78YgGcm1jGS+89vYDJn9Dz94gdPIVLR204CaUCWq0HyggwPbYjs5dX66njQ/iYKy2H73n6eeFGK/XoG9e6l+5D6iK1ei8QaQIPZDoxDJjrJ6dDpvlhmowg10gNqBVtIyNXMqC/IWMDd3Llaj9YTHIJweJ5Rf//RvNlVVj/ob8HDXf/p4YmIiW7dupbu7mxUrVnD99ddTWFjInDlzDvvMG2+8keuvvz7+887OTnJyxCo7QRAEYSBVVejs3BYLSt3v0tNTddBZieSkcaSlLSSUNI83OxJ4yeWlojYAuOJXjU80c05arGl+idlwShc59VEUlXVVHl7YWM9bO5vxh6O9nwDyDT3kKY3kyF40qJgSTIwePZlhRYX4aquo+Pg9tj6wEwkJp6mYM9IvJtNciNyXg5TBOCwV8/g0jMNTByxwAggFIr39Sd3UHKWetKDMTkLKideT9glUVlL18L1EP/oITVsPABpA0qhEsiKsLk3jjTI91XIb0AV0oZW1TMucxsK8hczNnUuyIflzj0M4fY4rQLXb7Wg0mkOypS0tLYdkSftkZGQc9nqtVovN1p9ml2WZ4uJiAMaNG8eePXu4/fbbjxigGgwGDIbP/38CQRAE4ctHUUK0t6+jtfVdWt3vEQq1xs9Jko5U63TS0haiTzmL5R06/uxqY+2BWKADsZ2czuhb5GRPItNwahc5HayurYcXN9fz4uZ66tr6s5U2XYR8tYkijQezFEZr0DJiRCnDS4pRWpup/GQ1rz95P6qiYDdkM9G2kLzEkWjp/yy6bAvm8emYx6ahsQz8jPF60m1u6vd+qp40QUv+6FiWNGfU56sn7RM8cICqh+8j8sH7aDw+oDcolVXCzghrR9t4rUxPjcYLxHq36mQdM5wzWJC3gDk5c0RQ+iVyXL+j9Ho9EydOZPny5Vx00UXx48uXL2fx4sWHvWf69Om8/vrrA469++67TJo06ZD604OpqjqgxlQQBEEQjiYS6cLjWUlr67u4PR/G97kH0Ggs2Gxnkp62kCTrbFZ1qixxtfPuPheB3n6gEjAzxcKlGVbOsSef8kVOB/OHory9q4mlG+tZs98TP26QVfIkN8WaVtIkH7IsUVBQwMjhw9B1d3Bg/Rree+kJlGgUi9ZKadJMCq1jMZEQf4Ym2RALSieko0s3x4/39yeNBaUt1YepJx3bW09a9PnqSfsEq6qofuxBwiuWo2mN/XppAGSVaGaE1aNTeX2MnhpdB9AD9KCX9czImsHCvIXMyZkj9rr/kjru//ddf/31XHXVVUyaNInp06fzwAMPUFtbG+9reuONN9LQ0MDjjz8OxFbs/+c//+H666/nBz/4AWvXruWhhx7imWeeiT/z9ttvZ9KkSRQVFREKhVi2bBmPP/74gE4BgiAIgvBpwZA7tsjJ/S5tbWtR1f7V3Hp9Gmn2+aSlLSAlZSo7fAr/drXxcmUtnnD/YqhhZiNfz7ByscN6Sva8PxJVVdlc6+WFTXW8sa2JrmD/GJ2aLorkVvLkdrSSQmZmJqNGTCEh7Kdm83pWv/MS0UgEvWyiMKGMYttEkqX+WUrJoME02o55QjqGguQB7aC8LT1UbnBRucFFe3PPgDGl5yf19ie1k5r5+epJ+wRra6l57EGCy99B2xLLWGsAJJVIZoS1pVZeLdNRq+8itg+sH4PGwBlZZ7AwbyGzs2dj0VuO8gbhy+C4A9TLLrsMj8fDbbfdRlNTE6NHj2bZsmXk5eUB0NTURG1tbfz6goICli1bxi9/+UvuuecenE4n//rXv+I9UAF8Ph/XXXcd9fX1mEwmRowYwZNPPslll102CB9REARB+DLp6amm1R1b5NTRsYWD+5OaTPmkpy0kLW0BSUnjaAhGeMrVztJ9VVT29M/K2XVaLnKk8PWMVMZYTKelprSPqzPAS5sbeGFTHftbffHjSXKIQrmVItlNohwiOTmZ0lFTSSZK844tbHrwn0TDYWQ0OM1FlGRNJk2ThaT2fhYZjCVWzBPSMY60Iev720X5OoLs29hCxQbXgEypRiuTPcIa7086GPWkAKH6emqe+C+Bd95G2xzry6qFWFCaEWHdqGReLdNTY+wGAkAAo8bIrOxZ8aDUrDMf5Q3Cl81x90EdqkQfVEEQhC8nVVXp6trZG5Qux+erGHA+MXEM6WkLsactIMFcTHdU4Y1WL0ub21nr7Y6Hr0ZZ4mx7MpdmpHKmNRGdfPqC0mAkyoo9LSzdWMdHFa30VhmglRTypDaKNW4y5C5MJiOjRo4kVa+hbc8OqrZsJBKKBdp2QxbD0qfiNBSiifYHnzpnAubxDszj0tAk9meEg/4IB7a0ULHeRUN5O31/+0sS5IxMpWSKg8KxaSe83/2nhZubqXn8IfxvvYG2ydt/QlKJOGJB6StlWmpN/Vlbk9bE7OzZLMhbwKysWSIo/RI6KX1QBUEQBOFUUJQwXu+GeFAaDDbFz0mShpSUqaSlLSTNPg+j0UlEUfmwvYsXqmt4290RrysFmNFbV3peWgpJWs3hXnfK7Gzo4IVN9byytQFvT/9K+HSpi2KNm3xNGyatxLCSEtItZrr376XqxSeo7N31yaJNYXj2HPISStGFetdxREGTpO+vK3X015tGwlFqdnio2OCiZodnwEInR0ESw6Y4KJ7owJw0OKUN4ZYWap98mJ43X0PbEGt/FQs0VCKOKJ+MTOSVMi01CX4gBIQwa82cmXMmC/MWMjNrJiataVDGInyxiQBVEARBGBKi0R48batobV2O2/0+kUj/Fp2ybMJmm02afQF2+1nodCmoqsqObj8v1DXwcks7raH+ms0Ss4FLHalcnGEl5zTWlQK0+UK8sqWBpZvq2dPUP51ulkIUyW6KNW6S5SD5+fk4U5wEaw9Q/fZL1PtjmUW9bGR05iyKrOMx+nuDt1BsV6d4XWlhSryuVIkqNJR7qdjQzIEtrYQC0fg7rRlmhk3JoGSyg+S0wQkEI243tU89iu+NV9DWxRZ09QUXkfRwf1BqCQBhIEyCLoE5OXNYmLeQGc4ZGLXGQRmL8OUhAlRBEAThtAmF2nB73qe1dTltbR+jKP07Iel0Vuz2eaSlLSTVOhONJhbENARCvNToYmlzOxU9/den6jRc7LByqSOVsYmnt640ElX4qKKVpRvrWbHXRTgay+jKKOTKXoo1rTjlTjIzHOTYi4i66qlb+RY7fL7e6zQUpU9gRMY0LL5EUIitF5LAUGIlYXw6xtL+ulJVVWmu6qByvYvKTS34O/sXi1msBkomOxg2xYEtyzIo30ukrY26px+j6/WX0dW2gnpQUJoWYf3IBF4u01KTGAQiQIREXSJn5Z7FgrwFzHDOQK85vf9wEIY2EaAKgiAIp5TfXx+fuvd6NxCLvmKMxmzS0haQZl9IcvIEZDn211R3JMobTR5eaG5n9UF1pQZZYpE9mUsdVs5KTTqtdaUA+1q6WLqxnpe2NNDa1b8oyyb5KNa4KdR4SEtOIC/Dgdwu0bhpFeVd/VnVLNtwRufOJsVvg6Da15YVXWZCbAp/XDqag6bj25p8VG5wUbG+mU53f7BuSNBSPNHBsMkOMosGrto/UZH2duqffYrO115AV+0CFfqaRUbsEdaPMPPKWC3VSSEgCkRJ1CcyN2cuC/MXMi1zmghKhWMmAlRBEAThpFJVlW5feWzqvnU5Xd27Bpy3WEaSZl9AWtpCLJYR8QxfRFH50NPJC6523mr14j+ornRacgJfz0jlvLTT268UoMMf5vVtjSzdVM+2Om/8uJEwhRoPJRo3mWaVPGcG+q4Qrm0bqf6k/zpbSjZji+ZjD2cidSngBVCRE/WYx6dhHu9An9lfV9rVFqByY6wtlLuuv9erVi9TMDaNYVMc5IxMRaP9/H1Kox0d1D//NB2vLEV3oGlgUGqLsH6EiVfKtFSnhIn9QyNEsiGZebnzWJC3gKkZU9FpjtzzXBCORASogiAIwqBT1Sjejs24W2OZUn+g9qCzMikpk3qD0gWYTDkH3aeys6uHpa52Xna103JQXWmRyRDvV5prOr07CSqKyur9bpZurOedXc0EexcfSShkyx2xBU+6LvKcGZiDRjw7NtG45eP4/YlJdsYNX0imlI/UGoU2AAVJd1BdaVF/XWmgO8y+zS1UbnDRWOmNP0eWJXJLYyvwC8rS0Bk+/yKwaFcXDS88i/elZ9HtbwSlPygNWyNsGmHipTIN1akRYi2+wlgNVublxYLSyRmT0ckiKBU+HxGgCoIgCIMiGg3S3r66d8/79wiH2+LnZFlPauqs3kVOc9HrbQPubQqGeLG5nRdc7ez1DawrvTDdyqUZVsYnmk9rXSlAjcfHC5vqeWFTPU0d/eNMkXoo6Z3CL3RYSVSgY08Vnl2f0LcPlDEhkfGjF5GtH4bcpIBbBaKxutKiFMwT0jGV2pF7g8xwMErV9lYq17uo3dWGclAG2VmSQslkB8UT0jFaPn8wqIZCNL60FM8zj6KrrB8YlKZE2TTCwMtlGqpsWmJBaYRUYyrzc+ezIH8BkxyT0MoipBAGj/jdJAiCIJywcLgTj+cDWluX42n7iGi0v6elVpuE3TaXtLQFpKbOQqtNGHCvLxLlTXcHLzS3saq9v65UL0kstCfx9YxUzkpNRC9//qnqz8MXjLBsRxNLN9axvro9flxPhEKNh2KNmxKrDqtWwldZQ/fedfRNvOtNZsaUzaMgaQzaRgm1JUKsPhO0DjMJE3r7lSbHMsLRqEL1DjcV611UbWslEuqvz7XnWCiZ7KBkkoPE1MFZ9d65cwfV/74D7brNSEGlf/o+Ocqm4XpeGatlv72vC0AUu8nOvNx5LMpfxIT0CWjk09u2S/jyEgGqIAiCcFwCwebY9qKty2n3rkNV+6fhDYaM+NR9SsoU5E9N9UZVlVXtXSxtbmdZawd+pT8Am9pbV3r+EKgrVVWVDdXtLN1YxxvbG/GH+8ap4pQ7KdG4GWEJ4jBqCVZX0VNeR2vvFTqjiRFjZ1Fin4jRpSfaEoCWKCogJ+owj+3tV9q7daiqqDRWeqnY4GL/phYCvv7+qEl2Y6wt1CQHqc6ETw/zhES7uqh44G4ir7+Ktrk7HpRGTQpbRml5cZyW/WnRWAd/oqSb0pmfN5+F+QsZlzZOBKXCKSECVEEQBOEz+Xz7aW19l1b3cjo7tw04l5BQ0rvn/UISE8ccdhp+V7efpc1tvOxqx3VQXWmhycClGVYucVjJO811pQDenhBPfVLLc+trqG3vn8JPlAKxoNTQQX6ihkh9NT0VVfTlU7UGAyXjpjM8axqWNgvhmi5oUYgSQNLJGEttJIxPx1BsRdJIqKqKp6GbivWxxU7d7f0r/k1JekomplMyxYEjP2lQyhpUVaXhvbfw/Pff6HdVQ6R/q9GGfHhhooG1RVEUWQIUHOYMFuQtYGH+QsamjUWWTm8WW/jqEQGqIAiCcAhVVejs3NZbT7qcnp4DA84nJ42PtYNKW4jZXHDYZzQHw7zkaueF5jZ2H1RXatVqWOyw8nWHlQlJp7+uFGLN9B9cuZ9HV1fhj8SKDbREKdC0UaL1UJqoQmsD/n376OrdI1Sn01MwbjIjC2eS0p1KsMILLSphumJ1pYXJmMc7MI2xIRtif912tPpjbaE2uGhv8sXfrzNqKBqfxrDJGWQNT0HWDE5A2NVQy/67/4x+1Wqk9ih9TZ4CSQrvjzPwylgFryUWlKYabZxbcC5nF5zNGPsYEZQKp5UIUAVBEASgd8/77l24ml/D1fImwWBz/Jwk6Ui1TseetoA0+3wMhvTDPsMXjfJWawdLm9tZ1d4V73CqlyQW2JO41GFlni3ptNeV9nF3B7nnvb08vaGeYG+ppVXqoVTbzNjEAKZ2F4GKSgJKb92oVkv+2ImMHDULeyiD4C4vyvowwd5cqjbdjHlCrF+pNiWWEe7pDLFvTT2VG5ppPtDf81TWSuSPsTNssoO80Ta0+sGZOo+Gw+x97B6irzyH7kA7BiX2DwBVo7K7RMOLE2R25qogqWhlHfOyz2Rx0WLOyD5DrL4XhgwRoAqCIHzF9fRU0ex6HZfrNXp6quLHNRoLNtuZpKUtwG6bg1abeNj7o6rKx+3dLG1uY5m7g55of13p5KQEvp5h5fz0FKynua70YC2dAe58cxsv72gl3BvA2SQfEw0uRoUbCFdVIIdDBAGNRkPe+EmMGDeLDCmP0E4vkY/9+HurTmWLDvPYNMwTHOicsbrSkD/C3rVNVGxwUb+3HbV3Bb4kQdZwK8OmOCgcl4bBPHgBYe26j/D89y5MWyqQfRKxfwJItNvgzQk6VpQq+EyxzzoydRSLixdzbsG5WI3WQRuDIAyWofOnhSAIgnDKBAJNuFrexOV6na6unfHjsmzAbp+Hw3EettQ5aDRHrgvd0+1naXM7L7naaQ71L+zJN+m51JHKpRlW8odAXenB6tyd/PXVTbyzr5uIKgMSdqmbybpG8pq3ou1sI6qqaGSZ3LLxDJ8yi2zTMCK7Owl+2EEPTbEHaWVMpTbM49MxlsTqSiPhKFVb3VRsaKZ6h4douD9QT89PYthkB8WT0klIHrzvpMPtYv+9f8b04QfQGMaoSqhIRHQq60fpeHW8SlUGIKmkGm1cUngeFxRdwPDU4YM2BkE4GUSAKgiC8BURDrfT0vI2za7X8XrXA31ZPQ2p1pk4HBeQljb/iJlSAFdfXamrjV3dB/UB1Wq4ID2Fb2SkMnGI1JUebE9NE397bQurGqJEkQGZNKmbSaFy8t070QZi7bEyh41g1My55KePIVruw/+RB1+kLv6cWF1pOqYxdmSjFkVRqa9op3K9i/1bWgn5+xeApTjMDJvioGSyg5R086B9lmgkwq4XH4KXHsdY3oop0FcaIFGXJfP6eIk1IyCkA62sY372HBYXL2Zm1kwxhS98YYgAVRAE4UssEvHhdq/A5XodT9vKAS2hkpMnkeE4n/T0cw5pnH8wXzTK260dvOBq56O2/rpSnSQx35bE1zNidaWGIVJX2kdRFNZu28vdy/eysU2H0huYOuhkkm87+Z7dyNEoKRmZjJp1EcPHnYHmQBTf+ma6u6vjz9GmmfrrSq1GVFWlpaaLyvUuKje56OkIxa9NSDFQMtnBsMkO7DmWQQ3Uq7auoe2RO0navBNdaywojaIhYIIPyrS8M1al0RZ73yjbKBYXxabwU4wpgzYGQThVRIAqCILwJaMoITxtq3A1v0arewWK4o+fs1hG9gal52EyZR3xGVFVZU17N0tdbbzZ2oHvoLrSSUlmLs1I5YL0FFKHUF1pH7/fzzsfb+S/a+rY7U9EITalnqG2M6VjEzntlSQkJjF8/jmMPGMOqdoMfGub6Hm4mr7oW07Q9vcrzYoFmu3NPipeP0Dlehcdrf3fqcGspWhiOsMmO3AW929POhjaW5uofPIukj54B6kqhDksE0GDKqnsLdDx5jiFTcUSUQ3YjHa+U3geFxRfwDDrsEEbgyCcDkPvTxZBEAThuKlqlHbvelyu12lpeZtIpCN+zmTKxeE4H4fjfCwJJUd9TmMgxDNNbTzd5KEh2F9XmmvUc2mGlUsdqRSah1ZdaZ/m5mbeXLme57Z7qYxYUUkGwBl1M8WznoJQE4WTpjJq1uXkjRpLcGc73W814m7aEX+GPj8JywwnplIbkkamuz3I7hV1VKx30VrbFb9Oq5MpGGunZEoGuaNS0WgHL3scCgbY9faTaF55FMveZhLbdaiAikxHksQ7Y2U+KANPEuhkA3Nz5rC4aDEzsmaIKXzhS0MEqIIgCF9QqqrS1bWDZtfrtLjeJBhyxc/p9Wk4HOfhcJxPUmLZUaeao6rKCk8nTzZ6eM/TGZ/CT+6tK/26w8rk5IQhV1cKEIlE2Lt3L8tWbeSdOokDig2VWLlCdriZKZ5PmFZoZ+S5ixk2dSaagIbuT5poeXMzSk+s3EHSyZjHpZMwPRO900LAF2bP2mYqNjTTUOHtK9VFkiVyR6VSMtlBwVg7euPg/RWqKgqV2z6mc+m/sW3egqlOgxqVCaIjKsOm4RreGauyM19ClSRKbaX8qHgx5+SfI6bwhS8lEaAKgiB8wfh8+3G5XqfZ9Rp+f038uFabRHra2Tgc52O1TkWSjt5Xs+GgbGnjQdnSackJXOW08bW0FIyD1DB+sHV2drJp0ybeWbOV9T4bVYodlVgAnRtsYIGmmkWzJzBi5p9JtNkJ7vfS9UINgT2eeMCpsRqwTHOSMNmBZNLStK+DnQ/tYv+WFpTeZv0AmcXJDJvsoGhCOqZE/eGGc8LcjTXsf/UeUj96E83+EAldWgK9m48222TeGQcrR0t0maXYFH7R+VxQdAEl1qNnwgXhi04EqIIgCF8AgUBjrC1U8+t0de+KH5dlI3b7PDIc52OzzUaWjz79HlFU3m/r5IlGDysOypZatRq+kZnKtzJtlCQYT+InOXGqqlJbW8vqlR+xvrKRbREnVUoJ9AamReFGrhyu57yF80nLK0ANKfRsceF6fDORlp74cwzFKVimOzGOTCUUiLBjXTO7VjbQ3tx/jS0rgWFTMiielE6SzTSonyPQ083OFU9heOcJUvY0kNRoIKJKgJaQDj4eJbNirESlE3QaPWflnMXi4sXMcM5AK4u/toWvBvE7XRAEYYgKhdpoaX0bV/NreDs2xI9LkpbU1DPIcFyA3T4frTbhM59VHwjxdJOHZ5raaDooWzo9JYGrnHbOtScP2WxpKBRi0/r1rF2zmupu2BZxUqOMiZ8fa+ziJ3MKmD/7bGRZQ8Ttp+ONA/g2uVADsR2gJL2MeYIDywwn2jQTrupO1jy5l30bXER6+5Vq9TLDJjsonZ1Fel7SoH4GVVEo37iCzncfxLllA8kHdET8GrqJ/WNgv1Nm+VhYM1IiYJAYbRvN74sXc07BOSQbkgd1LILwRSACVEEQhCEkEumm1f0eLtfrtLV9PKAtVErKFByO80lPOxu9PvWzn6WorOjNlr5/ULY0VafhGxmpfMtpo9g8NLOlAK7mJt5/axmVNXW0Kma2RbKoVfp3PZqZoeHXiycytiANVVEJVLbjW9NIoLw9fo3WZiRhupOESQ4iQPl6F7se3Im7rjt+jS0rgdJZWQybmoHBNLh/LTbVlFP97oNkrHsD874gqstAV29Q6jNKfDgG3h8rU5cmYTfZubwwNoVfbC0e1HEIwheNCFAFQRBOM0UJ4vGspNn1Gm73+yhKfwP8REspjozzcaR/DaPReUzPqwuEeLoxli09eIenmSkWrnLaOCctecj1LO0TjURY98EKNmzYgDcUwa2Y2RYppq43MJVQOXuknV8sKmV4RiJKIELXxw341jURcfe3fjIOt5Iww4mxxIqnsZtNL+2n4pNmwsFYRlWjlSmelE7prCwyCpMGdQGYr8vL7hVPYl7zNPa9ddiqTQRCGugNTHfkS7w3VmLDMAlJr2du7lxuLFrMdOd0MYUvCL3E/xMEQRBOA1WN0t7+SawtVOvbRCKd8XMmUz4ZjgtwOM4nIaHwmJ4XUVSWezp4otHDB21dfeuASNVpuKw3W1o0hLOl9ZXlfPjO21S5WohqdLQqCWyLFFCvpAAgS3D+WCc/PauYEkci4ZYe2l/ZR89mF2oolhuWDBoSJjmwTHeiJunZt7GFXa9swlXV/92mOMyUznIyYlomRsvgtWRSolF2r30T/5rHyN2xnrQDevwePW1YAGhLlPigN1vamiIxxj6G3xYt5uyCs8UUviAchghQBUEQThFVVens2o7L9Tou15uEQi3xcwa9I94WKjFx9DFn9Gr9wfhKfFeovxzgjBQL3xri2dLuNg+fLH+brTt20CXrQZZpkaxsC2bSoKYAscD0wnFZ/GRuMYW2BAJ72mh9fQfBfd74c7TpZiwzMjGPd+BtC7D2/TrK1zUT7G0jJcsShePTKJ2dRdawlEHNltZVbqP+g4fJ2b4M24EgnbUm2iKxoDQqw8ZiiffHSmwtlLAnpHNe0XksLlpMUUrRoI1BEL6MRIAqCIJwkvl8+2h2vYbL9Tp+f238uFabTHr6OWQ4ziclZfJntoXqEz4oW/rhQdlSm07LNzNTuTLTNmSb6Yf8PZSvW80nH6+iqauHqNkCWiMuxcL2kJMGJZZN1MgSF4/P4idnFZNr1uPb4KJ53W6i7cHYgyQwjrRhmZGJNjeJqm1udv5nG42V3vi7Em1GSmc5GTnDiTlp8NpDdbS72fveoyRtex7H/nocB8x0dejo+yu1yQorxsl8NFrCn2Rgbu5clhQvZlrmNDGFLwjHSPw/RRAE4SQIBBp7e5W+Tnf3nvhxWTaRljafDMcFpKaegSwfe+BU4w/ydFMbzzR5aDkoWzrbauFbTjtn25PQD8FsqRKNUrN9C1s/WkH5gWqCSamoWh2qyUJz1MJeOZ+aUKyVk1aWuHRiNtfNKSYjpOL7qJGmrS2ovSvtZbMW8+QMLFMz8UVVtnzcwJ77d+LvitXaShLkl9kpnZ1F7sjUQdt2NBIOsWvVK0Q2PUnhvg1kVxnoqjfi6g2og1pYN0Li/bEye3KgLG0sPytezKL8RWIKXxBOgAhQBUEQBkko5KGl5S2aXa/T0bExflyStNhsZ+JIP4+0tPloNOZjfmZYUXnX08ETDR4+au/PltoPypYWDMFsqaqquA7sY/fK99mxaQNdejORRCukOlBVcJNCuaGYfZ2xAFKnkfj6pBx+PKsAW6Of7qWVtFT3147qMhOwzHBiGG2jdq+XlU/upW53W/x8QrKeUWc4GXWGE4t18Gptq3Z9gmvlIxRUvY3zQJiOKjPNvpT4+QMZsGKszOpREharg/OLzuevxRdQmHxstcOCIByeCFAFQRA+h0ikm9bW5bhcr9HWvhpVjfaekUhJmUKG4wLS089Gp0s5rufW+IM81ejhmeY2Wg/Klp5pTeRbThuLhmi2tKPFxZ6PP2TXqg9p6fETtqaj2LMBUFUIJOawnTz2tAYhAHqNzGWTc/jh5FySy734HthFW2co9jAZTKPtWGY4CSbq2bmmiT0v7MPX0XtegtxRqZTOyiJ/jA15kPq4trU0UPHeI9gqX8RR14hmv5m2ZiOosSyvzwCrSmPZ0kangXm58/hH7xS+Rj62Mg1BEI5OBKiCIAjHKRoN4mn7EJfrDdzuFShKMH4uMXEMGY7zSXd8DaMh47ieG1IU3nF38mRjLFvaJ02v5fKMVK5w2sg3Db1saaC7m4p1H7N71QfUHdhHyJpOONkGybG/YjSyBm3uWD72JrGr2QcEMWhlLp+SyzXDHFi2e+hZsp3OaCw/LFt0JEzJwDw5g4b6btYtq6Fmhxu1N31sStQxckYsW5qcNni7PLU2VnPgpVspPfAGhQcMeKvMNAT7+83uyo2twl83XGKkcyxX9a7CT9IPblN/QRBEgCoIgnBMYm2h1tHseo3W1neIRPoDSLO5EIfjAjIc52E2Fxz3s6t6gjzV5OHZpjbc4f5s6RxrIldl2VhoS0Y3SLWUgyUSDlO1ZQN7Vn3I/s3rCRkTCFnTiRb17/CUkpyCJm88b9dJ7NrbBfgw6mSunJzLt+3JmLa4Ca3ZQ98Go7psC5YZTtS8JPaud7H775vpauvvCZs1PIXSWVkUjktDox287LHX3czeF25j5K6XcO42Utdg7z+XAB+OkfigTCaa4+CCogv4f0UXUJB8/L/OgiAcOxGgCoIgHIGqqnR2bqXZ9TotLW8SCrnj5wyGDByO88hwXIDFMuq4WxeFFIW33Z080ehmVXv/rkbpei2XZ9q4IjOVvCGWLVVVlcbyPexe9T4Vaz/GH/ATSk4jnDcSVd8/1uKSYYTTR7B0dze718cCeZNOw5UTsrlCZ8K4tRWlu40QgEbCXJZGwvRMWnsirFrZSNV/d6MosXSpwaxlxPRMSmc5sWZ89paux6Oro42dL97OsE1P49ytp7EpthmAAmwpknh/nMSuYUbOLJjHLUUXMjVzqpjCF4RTRASogiAIn6KqCq2t71Jds4Surl3x4zqdlfT0c3Ckn09KyiQk6fizeFU9QZ7szZZ6erOlEjAnNZGrnDYWDMFsaVtjPXs+/pA9qz6go8VF1GgmZE0nkpMKvd+B0Whk3PjxdCYV8vAnTezd0QRAgl7DlaWZfCOkxbihHZR2FEBO0mOZmom21Eb5Dg+7H9qN19UTf2dGYRKls7MonpCOVj+4QaHf18W2l/5OwdrHcO7S0OKKTdErEnw8SuLlGTK2kWO5sPhC/pm/SEzhC8JpIAJUQRCEXooSxuV6neqa++jp2Q/E2kKlpy3E4Ti/ty3U8e8+FFQU3mrt4MlGDx97+7OljoOypblDLFva09nB3tUr2bPqfZr3V6JKEpFEK+GCUUSN/V0IMjIymDhpMvVSGv9YWUWFqwIAi0HDFQVpXOoF85b+1fj6vCQSZmTSYdLxyepG9r98gGgk1kJKZ9QwfGoGpbOysGdbBv0zhYIBtrz8T7I/fICMXdDWGvscERlWjpZ4ebrM8LIzuaPsR5SllQ36+wVBOHYiQBUE4SsvGg3S1PQCNbUPEAjUA6DVJpGd/W1ysr+DXp/6GU84vAM9QZ5s9PBss4e2cGx1vwSc1ZstnT8Es6U9nR1sfP0ltrzzBpFgEEWrI5yehWLLpK86VpZlSktLmTBpMls9Mr/9YB/7W5sBSDRouSIjhYtaIlj29mZEtTLmcWnoJzioqu1i56tVtDX64u+051gYPTuLkskO9MbB/2spGomw+fV7SX/r36TvitLpif1jIKyBD8okXp0mM2bMPO4e+0NKbaWD/n5BEI6fCFAFQfjKikS6aWh8htrahwiFWgHQ6Wzk5n6P7Kwr0GoTj/uZfdnSJxo9rD4oW5qh13F5Zmwlfo5x8HY1GiyB7m42vvEym996jXDAT8RkQR42nB6NPt57NTExkUmTJjF2/ARWVHZwzdJ9VLljgWayQcvlSRYWt0ZJrIm1gdKkGEiYlok/M4Gt611U/nMLkVAsW6rVyZRMdlA6O4v0vMRB3X60jxKNsvXtx0h+5U7sO4P0tOsBDSEtvDdO4vWpGiaMWcC9ZT9ieOrwQX+/IAgnTgSogiB85YTDXurqH6eu7lEikQ4ADIZM8vJ+iDPzG2g0x9/ofV9PgCcbPTzf3DYgWzo3NYlvZ9mYl5qEdohlSwGCPT42L3uNTW++QrDHR9RggmFj8Wv6Sxny8/OZPHkyRSXDeG1bMxfct5Hatlh2NFmn4XKDiYu6JRJaFUDCUJiMcbKDuq4Iqz5upLW2v+NBqjOB0llZDJ/qwGA+/nKJY6EqCts/WIrp6T+TsrOHYIcO0BPQwbsTJN6YomH6mHP475gfUmwtPiljEATh8xEBqiAIXxnBYCu1dQ/R0PA00Wgs82c2F5CXey0ZGRcc17ajAIGowlvuDh5vdLPW2z9lnWnozZZm2sgegtlSgFDAz5a3Xmfj6y8R8HWj6PRQMpoebSw4l2WZcePGMXXqVKy2NF7cXM+P/m8V9e1+AKxaDd9Ez0VhLeawhKSTMU9IJ1KUwu5dbZQ/tpdwIBaoy1qJ4gnplM7OIrMo+aRkS/vs/vgNpEduxrKjg1Cnjig6evTw9iSJt6fomD36PB4f833RJkoQhjgRoAqC8KXn9zdQU/sATU3Poyix6WeLZST5eT8mPf1sJOn4VolX+gI82eRh6UHZUhmYZ0viKqeNuUM0WwoQDgbY9u4y1r/2Iv7ODhSNFrloFD2GBNTeTvijR4/mrLPOwpKcwtKN9dz7yIc0eGOBaapG5vKojgsjekxIaGxGzJMzaJYl1q1z0fxOXfxdyWkmSmdlMWJGBibLyQ3UKza8T/De32Ha7iHcrSWEjm4jLJsks3yyjnljFvP06O+Tk5RzUschCMLgEAGqIAhfWj7ffmpq7qPZ9RqqGlvik5w0nvz8n2CzzTmuTF4gqvBmq5cnGj2s6+jPljoNOq7ItHF5ZipZQzRbChAJhdi+4m3Wv7IUn7cdVdYg5w8jaEkhElVAVSkqKmLevHk4MjJ5dkMt/3l/K00dsUb5NlnmSkXHBVE9RiQMw6wwMpXy+m72vl5F0Bf7fmVZomCcndLZWWQPsyKd5EC9avtauv75a0xbm9H2aAmjpdMEb0yRWTFZx9mlF/PcmO+RZck6qeMQBGFwiQBVEIQvna6uXVRX30tL69vQu8Qn1TqT/PzrSEmZelyBaYUvwFO9taXtkf5s6XxbEt8a4tlSgGgkzM4PlrPu5efp9rhRJQk5p4hgShqhSASiCllZWcyfP5+CggK213u5dslqttfHanPtSHwLA+crOowGLaYJ6bQlGdi4tZWGx/bG35OYamTULCcjZ2SSkHzyW2bV796M++83YN7agM6vIYIWbwK8NlXmo4kGzht9KS+NvoaMhOPbblYQhKFBBKiCIHxpeL0bqa5ZgsfzUfyY3T6f/PzrSE4ae1zPqvYHuW1fI8vcHfFjWQdlS51DOFsKsdZKu1e+z7qXnqWztQUV0GTlE7I76Q6FIBLBZrMxb948Ro4cSVcwwk2v7uSJtTWoQALwPQwsRk9CmhltWRr7OkPs/rgJf1cYAEmCvDF2Smc5yS21IZ+CQN21bzeNf/45CZtrMAQ1RNHgToRXp8msmWDiwtHf4NXSq0kzp530sQiCcPKIAFUQhC80VVVpa/uY6poleL3re4/KOBznkZ93LRbL8bUP6oxE+We1iwfrWwmrKjKwwJ7EVU47Z6UmojmJC3wGg6JE2fvxR6x94Rm8riZUQJuRTdSZT4c/AKEQiYmJnHXWWYwdOxZZlnltWyN/emMPrd1BABag5acYcQ6z4XNa2FDhpfal/X3JaMzJekbNdDLqDCeJqcff8eBEuA+UU/fHX2DedABjSCaKhpZkeHm6zPrxZi4tvZzXSr+N3WQ/JeMRBOHkEgGqIAhfSKqq0OpeTnX1vXR17QBAknRkZl5MXu6PMJvzjut5EUXl6SYPf6tqjm9BOseayC0lTkYkmAZ9/INNVRTK165izQvP0N7Yu9lAWgbkDaPd1wP+AEajkVmzZjFlyhR0Oh37W7u56ZWdrN7vASAHmRswMs2RRGtGAsu2e+he3xJ/R86oVEpnOckvs6PRHP82ryfCW1NF1S0/w7SxAmNYRkGm0Qovz5DZMs7CZaVXcvOoq7AaradkPIIgnBoiQBUE4QtFUSK4Wt6gpuY+fL5KAGTZSFbW5eTmfA+jMfO4n7mqrYub9jWwxxdbEFRsNnBLcRbzUk9OA/nBpCoK+zasY83Sp3DX1QCgtdrRDhtNa2c3+HrQarVMnz6dGTNmYDKZCISj/Pvdcu79cD9hRUUPfBsD30pIIFKSyttbW/GVx0objBYdI2dkMuoMJynp5qOMZHB11VWz76afY9pQjjEioSJTZ4eXZsjsLEviitFX8eeRV5JsSD5lYxIE4dQRAaogCF8I0WiQpuYXqal5gEAg1spIq00kO+sqcnK+i15vO+5nHugJcuv+Bt5xx/aKT9Fq+FVBBt9x2ofcFqSfpqoqBzavZ/XzT9FafQAAbVIKxlHjaerogs5uZFlmwoQJnHnmmSQmxnbF+qC8hZtf3kltb9uoaWj5pcaEszSNTw504vqwAYgteppyQQElEx1odKcmWwrgq6uh8n9/iWHDboxRCRWJ6nR4caZM+ZgUrhr9Hf4+4nIS9ce/y5cgCF8cIkAVBGFIi0R8NDY+S03tfwmFYtPNOl0quTnXkJ39rRPajtQbjvB/1S4ebnATVlU0ElydZeeG/AysuqH9x6KqqtRs28zqpU/RvK8CAK0lEUvZFBo6umjviO3a1NfL1GaLBe5NHX5ufXUXb+92AZCGxM8xMrckjR1dETaubAJAb9Iy8Zw8ys7KRqs7vv6wn4e/rpaK/70e/fqdGBQJkNiXAS+eIXOgNJXvjrmau4dfRoIu4ZSNSRCE02do/0ksCMJXVjjcQX3949TVP0Y43A6AwZBBXu4PcDovQ6M5/rrQiKLyRJOHv1c1xRvsz0tN4uZiJ8MSTs1in8+jduc2Vj//FI3luwHQGE2kTJxBQ6eP9vbYlHxfL1On0wlAJKrwyOoq/u/dCnoiChrgUvT8IMOK22zglY2tqGqsf2npmVlM/lr+SW+qf7BATQ2VN/8/tOt3oFcAJPZmxTKm9aPsXD3mGpYM+zpm3akrLxAE4fQTAaogCENKMOSmrvZh6hueIhrtBsBkyiM/71oyMi487u1I+3zY1slNlY1U9MTqTEvMBm4tzmKuLWnQxn6y1O/ZyZrnn6Jud2wxmEZvwDb5DBp7glS3xQLTg3uZ9tlU087vnt9GuSe2scBoNPzakkhqdgrvb3ETDsZKGwrHpTH9oiJSHKcuCAweOEDlrb9DXr8NbW93gJ25Ei/OlGgdkc41Zd/nkpJLMGqH/j8cBEEYfCJAFQRhSAgEGqmpfYDGxudRlFi7I0vCcPLyf0x62jnI8on9cVXpC3Dr/kbe88SCMatWw/8ryODbTvuQbrAP0FRZzurnn6Rm+xYAZK2W9KmzaQ4p7O8NTO12O/PmzWPEiBHxBV3tvhC3v7qL57c3ApCExI81JuaXpLF2r5cd62LT/Ol5icy8tARnScop+0zBykr2/ekmpPVb0fQGplsLJF6cKeMdlsEPx/6QC4svRK8Z2n1mBUE4uUSAKgjCadXTU0V1zX00N78S3440KWkc+fnXYbedhSSd2AKd9nCEu6qbebTBTUQFrQTfy0rjl/kOUoZ4nanrwD7WLH2KA5s3ACBpNDinzaZF1VLZFit3SEpKYs6cOYwdOxaNJlYrqqoqz6+r5a/L9tDeW8JwLjquK0ynwhXk3XWxGt7EVCPTLiqkZKLjpG9F2iewZw9Vt/8Rdf0W+n5FNxVLvDBTpqcok2vH/5jzC89Hp9GdkvEIgjC0De0/pQVB+NLq6tpDdc0SWlreoq8DvNU6nfy867Bap59we6ewovJYo5s7q5rx9m5NutAWqzMtMg/t6eLWmirWLH2KfRvWASDJMtnTZtOuT2CvK5b1/HQv0z57Gzv53VOb2dw7nV+IzP9Ls6KX9Xy0uQ04PQug/Dt2UPu3v6Bs3Br7TMAnwyVenCETKczi2vHXcW7huehkEZgKgtBPBKiCIJxSHR2bqapegsfzQfyY3T6P/Lwfk5w8/nM9e4Wnk1v2NVDZEysRGJFg5NbiLM5MHdotiTz1taxZ+jQV6z6OHZAkcqfNojsxld119UA3Op2OadOmxXuZ9ukJRbhr6Q4e3dFIFDAC3zMlMDPNytadbahKz2lZANWzeTP1d95BdPM2ABRg7UiJl2bKSHk5XDfxp5ydfzYa+dR1ChAE4YtDBKiCIJx0qqrS3r6Gqup78Ho/6T0q40g/l7z8H5NoGfG5nl/uC3DLvgY+aIu1WErVafhNQSZXZtqGdJ1pe1MDa194hj2rPwI1lkXOmzKTUHoWu/YfAG/PYXuZQuw7fWttLbcu24OrN1M8W9ZxTXYaleWdbGmK7Q5VMNbOjIuLT8kCKFVV6flkPY3//AeRrdsBiErwcanESzNkDDm5/Hzyz1mQtwD5BEs3BEH4ahABqiAIJ42qKrjdK6iuuZfOzlgmTZJ0ZGZcRF7eDzGbCz7jCUfnCUW4s7qZxxvdRFXQSRLfz7bzizwHyUO4zrSjpZm1Lz7L7pXvoyoKAHkTpyHlFrGrohJlf6zx/qd7mfapbezkD09sZmV7bDo/E4mfOmzgCrNre6xGNbYAqhhnycnfAlRVVXwfr6bp7n8S2bkLgIgMH5ZJvDJNxuLM5TdTb+Cs3LNEYCoIwjEZun+CC4LwhaUoEVpallFdcy8+X6yZvCwbcTovIy/3+xiNzs/1/JCi8GiDm7uqXXT0Zg/PsSdzU5GTArPhc4//ZOl0t/LJS8+x88PlKNHYuPPGT8JQMprte8sJ7y0HYr1M58+fT2bmwG1bg8EIS57Zzn17mwgS+wP88kQLYyN6XOWxYNWSamD6hUWUTDr5C6BUVaX7gw9x/ftfhPfsBSCkgffHSrw6TcbqyOOmGb9mdvbsIb9lrCAIQ4sIUAVBGDSKEqSp6WVqau/H768FQKOxkJ19Fbk530Wvt3+u56uqynJPJ7fua2S/P1ZnOirByG0lWZxhHbp1pt1tHj555Xl2rHiHaCTWqSBnzHiSxkxk295y/Dt2AofvZQqxz73ygypuXlFBdW9gO16r4xuJybRV+XDhR2/UMPGcfMrmnvwFUKqi0LX8PVru+Q/hikoAglpYPl7i9akyafZc/nTGjczMOkMEpoIgnBARoAqC8LlFoz00ND5Hbe1/CQabAdDprOTkXE121lXodJ+/Gf6ebj8372tgZXuseb9dp+XGwky+mZmKZogGQT0dXta/upRt775FJBwCIHvkGNImz2RreQWdW7YCh+9l2qdpXxt/fHYby7p7AEhB4tvWFAw1AdrcvtgCqNm9C6AST+4CKDUapfOtt2m9dwnh3jIEvx7emSDxxhQZpzWXO2b/L1Od00RgKgjC5yICVEEQTlg43El9wxPU1T1KOBxrZWTQO8jN+wFZzsvQaD7/whx3KMIdVU082ehBAfSSxA9z0vh5noNE7dBcAd7T2cHGN15my9uvEwnGMr2Zw0aSc8ZctlXuZ8+GjcDhe5n2CXcGeeSp7fyrpoVuYu2Zzk1IYJQHqIrthlUw1s70i4qwZpzc/enVcJiON97Efd99hGtqAPAZ4K1JEssmyeQm5fB/c25hStbUkzoOQRC+OkSAKgjCcQuF3NTWPUp9/RP925Eac8nL+xGZmRchy5+/DjSkKDxU7+Yf1c10RWMLib6WFqszzTMNzTrTQHc3m958mU3LXiMc8AOQUVRC0dyz2Vldx4q1sQ4GJpOJWbNmMXny5AG9TAHUcJT1y/Zx67oqdqux6fwSnY5FYT2mhtj3kJ6XyIxLiskadnIXQKmhEN5XXsHzwIOE6+sB6DLCm1Nk3p4oUWjO5t/z/sgk5+STOg5BEL56RIAqCMIxi21H+l8aG59DUWJZvISEEvLzriM9/dwT3o70YKqq8ra7g9v2N1Llj02Lj7GYuLU4ixlWy+d+/skQ7Olh87JX2fTmKwR7YouV0vILGbnofMobXbz98VqAeC/TmTNnYjQO3DRAVVVaNzVz52t7eCHkRwHMksTXtGZyW6PIKKdsAZSqKHhfeAH3knuJNMdKNjrM8PpUmXfHSww3Olky789MzBKBqSAIJ4cIUAVB+Ew9PdXU1NxPU/PLqGoYgKTEsth2pPZ5J7wd6aft6vZzU2UDq72xrGyaPlZnelnG0KwzDQX8bHn7DTa+/hKB7lgPVntOHmPOvYgDbV7eXLkaAFmWmThxIrNnzx7Qy7RPoKaDF5/fxT88Xjy9u2pN0xsY3yphURX0Ru0pWwAVqqmh6fd/oGdjrAyhzQKvTZV5b7xEqTaD++b+mYm5YipfEISTSwSogiAcUTjcSVXV3dQ3PIHaO92ckjKVgvyfYLXOGLSFMK2hMH870MxTTbHwzCBLXJuTzv/kpmMZgnWm4WCAbcvfYv2rL+Dv7ADA6sxm/PkX0+gP88bHa1B6+5seqZcpQMQbYMcrFdy+t5H1xL5fp0bD7E4tOV4ZSZYYfeapWwDV9tjjtNx9NwSDBHTw3GyZ5eOhTM7gwbP+xISC6Sd1DIIgCH1EgCoIwiFUVaGp+SX27buDcDi2I5HNNof8/OtISZ44aO8JRBUerG/l7hoX3b11phekp/CHwkxyh2CdaSQUYvuKd1j/yvP4vLGG+CmOTCZe+HU8isyytZ8QDscyzMXFxcybN++QXqYASjCKe0UN9646wFNqkBCgA84I6xnnldEinbIFUADBffto/P3vCWyL7f60PV/i/nNk8hKsPDDndiYWn3HSxyAIgnAwEaAKgjBAZ+cOyitupbNzCwBmcyHDSm7CZps1aO9QVZU3W2N1prWBWJ1pWaKJPxZnMTVl6NWZRiNhdn6wnHUvP0+3xw1AUlo6ky/8Bt1GC++sXo3fH1sUdaRepgCqotKzycW7yyq4y++jnlhQPhwtszo1WBWZtNzYDlAnewEUxFbnex56iNZ77oFwhB4DPDZPZtcouCb3Gr618PqTPgZBEITDEQGqIAgAhMPt7N9/Fw2NzwIqGk0CBfk/JSfnu8jy4E0vb+/q4abKBtZ1xBYTOfRaflfo5OsZVuQhVmeqRKPsWrmCdS8+R2erCwBLqo3JF34D1ZbO+ytX0dnZCRy9lylAYL+Xfa9W8o+WNt4n1qw/BYnZPh3DwjKJViPTLixi2OSTvwMUQGD3bhp//3uCvTtAbSqWeHCRxHiTk+cufRx7yqGZX0EQhFNFBKiC8BWnqlEaGp9j//67iES8ADgcF1Bc/BuMhoxBe48rGOavVU0829SGChhliR/npPPT3HQShmCdaUv1Ad65725aqvYDYE5OYcqFX8eQU8iHH32Ee+0G4Oi9TAHCbj+eNw/w9J4m/kuQHmI9TScGNMwI6LAYtUz8Wh5j5+ag1Z/870EJhXAvWYLngQdBUegywiMLZOpL4IZhP+eCOT886WMQBEH4LCJAFYSvsI6OzZSX30JX9y4ALAnDGTbsFqzWKYP2jkBU4YHeOlNfb53pRekp/L7ISbbx5C78ORGRcJhPXnqW9a++gBKNYkhIYOpFl2EdXsoHH62kYX2s9OFovUwBlJ4wnStq+WRNHXepfip6p/OzojLzenRkqBpGn+lk8nkFJ30BVB//tm00/u73hPbHgu61IySemC9xhiGfO775JImJJ7+sQBAE4ViIAFUQvoKCwVb277+DpuaXANBqEyks+CVZWVcOSi9TiNWZvtbq5Y/7G6kPxBYOjU80c1tJFpOTT/7CnxPRVFnOO/fdjae+FoCSKTMYff4lrFm/gX1PPwMcvZcpgBpV8K1rov69au71+3iNcCxjrMJsv46ykIaCsjRmXHxqFkABKH4/rf/6N57HHkVSVLwJ8NBCGV++xB9G3ci8WVeeknEIgiAcKxGgCsJXiKKEqW94kgMH/hnfASoz8+sUF/0Kvd4+aO/Z2tnDTfsaWN9bZ5pp0PGHwkwucgy9OlOItY1a/dyTbF72GqqqYE5O4czv/IAqbzeP9wamn9XLVFVVAuXteN/YzxvuTu4hiLe3p2lpSMOZfh35OUnMvKSYrOGnLlPpW7+exj/8gUhtHRLw0WiJF86ChYbh/PTyRzEnJJ2ysQiCIBwrEaAKwldEW/taKipuxeerBCAxcQzDh91CcvK4QXtHczDMXw408nxzrAWTSZb4Sa6DH+emkXCY+syhoG7Xdt69/994XU0AjJx1FqO/dhFvvPU2LS0twNF7mQKEm3143zjA3n0e7iLA1t6epraoxIIeHSOTzEy77NQtgAKIdvto/cddtPcG2O5EePBsGVOmxJ/G/5Fp0y86JeMQBEE4ESJAFYQvuUCgicp9t9PS8iYAOp2VosJf4XR+Y9B2gOqJKtxX18K/a1rw9zaov9Rh5XeFmTiHYJ0pxLYnXfnUw2x/720ALDY7879/HW1RicefeppIJEJCQgIXXXQRxcXFh31GtCtE5/IaPOubeJQgzxAiCmhVmBHQMl0yMOX8/FO2AKpP98erafzfPxBtim1TunycxFuzVc7Xl3HNlf/FaBqaJRaCIAh9RIAqCF9SihKktvYRqqr/g6L4AZmsrCsoKvwlOl3KoLxDVVVeafHyp/2NNARjdaYTk8z8sTiLCUO0zhTgwJYNLH/wnnhP07L5ZzP54st5e/ly9u6NtV0qLi7mwgsvxGI5tC+rGlboWt1A1wd1rAoG+CcBmnun84vDMvMCemackc3krxVgTjp1AXq0owPX3/5Gx0svA+BKgfvOkcmxydw+5U7GTVp0ysYiCILweZxQgLpkyRL+/ve/09TURGlpKf/85z+ZNevITbw/+ugjrr/+enbt2oXT6eTXv/411157bfz8gw8+yOOPP87OnTsBmDhxIn/5y1+YMmXwVhILwleJx/MR5RW34fdXA5CcPIHhw24hMbF00N6xucPHTfsa2NjZA0CWQcf/FjlZnJ4yaFugDjZ/VycfPvYgu1d9AECyI4OFP/wZiiWJhx97jM7OTmRZZv78+UybNg1ZHphhVlUV/w43HW9V0dDu524CrOrtaZqkSMzr0TF/lOOULoDq07ViBQ0334zq9qAAb02SWDND4ULDFC678h4MRvMpHY8gCMLncdwB6nPPPccvfvELlixZwsyZM7n//vs555xz2L17N7m5uYdcX1VVxbnnnssPfvADnnzySVavXs11111HWloal1xyCQAffvghl19+OTNmzMBoNHLHHXewcOFCdu3aRVZW1uf/lILwFeH311FR+Sfc7vcA0OvTKC76DRkZFw5a0NgYCPGXA0284OqrM5X5WV46P8pJx6wZnJKBk6Fi3cesePg+ejq8IElMPPcCpl96JavXrWPlC7FuBjabjUsuuQSn03nI/aG6LrxvHKCnpoPnCPEIQQKArMKkoJYL0qzM+V4J2adwARRApK2N5j/9ia5lbwHQkAoPniszOknDn6b/i1Hj55zS8QiCIAwGSVVV9XhumDp1KhMmTODee++NHxs5ciQXXnght99++yHX/+Y3v+G1115jz5498WPXXnst27ZtY+3atYd9RzQaxWq18p///Idvf/vbxzSuzs5OkpOT6ejoIClJrEoVvlqi0QA1NfdTU3sfihJCkrTkZH+HgoL/Qas9dMX5ifBFoyypbWFJbQt+JfbHxjcyrPyu0EmG4dA+oEOFz9vOiofupXL9GgBSs3JYdO3PMaU5eOmll6irqwNg3LhxnHPOORgMhgH3R7xBOt+uomdrK9uIcCcBqnp7mmZHZBZrE7jgomGndAEUxLK5XW+9RcNtt4K3k6gEr02T2D0pyoWms7jgyn+iNxzaBksQBOF0OtZ47bgyqKFQiE2bNvHb3/52wPGFCxeyZs2aw96zdu1aFi5cOODYokWLeOihhwiHw4dtcN3T00M4HCY1NfV4hicIXzmqquJ2L6ei8s8EAvUAWK3TGTbsZiwJJYP2jpdc7fzpQBNNvXWmU5ITuK04i3FJQ3faWFVVdq98nw8fe5CArxtZo2HK4kuZevE32Vtezuv33UcwGMRgMHDeeecxZsyYQ+7vXt1I5zvVtIUj3EuQZcQ+v0mBeRED311QxLh5uad0ARRAuKWFpltvxbfifQBq0uCRcyRmmHTcNOu/DCubcUrHIwiCMNiOK0B1u91Eo1EcDseA4w6Hg+bm5sPe09zcfNjrI5EIbrebzMxD93v+7W9/S1ZWFvPnzz/iWILBIMFgMP7zvv2wBeGrwuc7QEXlbbS1rQLAYMikpOT3pKedPWjT+Z2RKDfsreP1Vi8A2cZYnekFaUO3zhSg093C8gfvoXrrJgDS84tY9OOfk+LM5s1ly9iyJbYbVHZ2NpdccglW68BpeaUnTNsLlfTsdvMGYe4lSFfvIqixIS0/HJfDWRcWn9IFUBALmjtefoXGv/wJqbuHiAwvzZBxjQtxVcI5LLry7+j0hs9+kCAIwhB3QoukPv0Xk6qqR/3L6nDXH+44wB133MEzzzzDhx9+eNhdWvrcfvvt3HrrrcczbEH4UohEfFRX30Nt3cOoahhJ0pOX+z3y869Doxm8jOa2rh5+uLOamkAIrQTX52dwXU46xiFcZ6oqCtvee5uVTz1COOBHo9Mx/ZLLmXT+xbS0tnL//ffj8XgAmDVrFnPmzEHzqf6sobouPE/tocsb4Bb8rOldBJUWlfiOM40rvjmK1MxT36Eg3NhI/f/+gcDqtUjAvgx4+hxYqNVx1VmPUFgqFpUKgvDlcVwBqt1uR6PRHJItbWlpOSRL2icjI+Ow12u12kOaXt9555385S9/4b333qOsrOyoY7nxxhu5/vrr4z/v7OwkJyfneD6OIHyhqKqKq+UN9lXeTjDkAsBmm8Owkv/FbM4f1Pc81ODmtn2NhFSVbKOO+0flM3EIt40CaG9q4N37/039nlg3EOewkSy89mekOrNZt24d7733HtFolMTERC6++GIKCgoG3N83pd/xVhXN0Si/pocDKGhVONto4VffHEP+yFNfdqQqCt7nn6fxb39F9gcJaeD52TKMDHBN8sWcdcWf0eqGZq9ZQRCEE3VcAaper2fixIksX76ciy7q34Vk+fLlLF68+LD3TJ8+nddff33AsXfffZdJkyYNqD/9+9//zp/+9CfeeecdJk2a9JljMRgMhyxmEIQvq+7ucsorbsXr/QQAkzGXYcP+F7t97qC+pyMc4fryOt5s7QDgbHsS/xyRS4pu6LZMVpQom958lTXPPUkkHEJrMDDr8u8wbtHX6Onx8/TTT1NZGds9a/jw4VxwwQUkJAwMtvum9AO7Pewmyq/VHrySSoIiccu0Ii69cNgpXQDVJ1RTQ+3vfkt401ZkYG82vLxQ5XzJwJQFj5M3cuIpH5MgCMKpcNx/61x//fVcddVVTJo0ienTp/PAAw9QW1sb72t644030tDQwOOPPw7EVuz/5z//4frrr+cHP/gBa9eu5aGHHuKZZ56JP/OOO+7gf//3f3n66afJz8+PZ1wtFsthm2QLwldFONxJVdXd1Dc8gapGkWUj+Xk/Jjf3B2g0g/sPtM2dPn60q4a6QAidJHFTkZPvZ9uHdK2pu7aad+67m+b9sQA0d/RYFv7of0hOz2D//v28/PLLdHd3o9FoWLRoEZMnTz7k84TquvA8vYdoe5D3CPNn1U9YgkxZw3+vnkzp8MNvb3oyqdEobY8/QfP//QM5FCagg2fPlLAV+/le6uXMvPwWkTUVBOFL7bgD1MsuuwyPx8Ntt91GU1MTo0ePZtmyZeTl5QHQ1NREbW1t/PqCggKWLVvGL3/5S+655x6cTif/+te/4j1QIdb4PxQKcemllw54180338wtt9xygh9NEL64VFWhqfkl9u27g3A4VjOZlnY2JcW/w2Qa3N7AqqryQH0rf9rfRFhVyTXqub80n/FDeIV+NBJm/SsvsO6l51CiEQzmBM686nuMPmsB0WiUd999N95ZJC0tjUsvvfSQMiRVVele00jHsirUqMJDhHiUIEgwISWBR/5nBskJpz4IDO7fT/Vv/h/Kzj3IwI48iRXzoixWkyg952nyho875WMSBEE41Y67D+pQJfqgCl8WnZ07KK+4lc7O2Epzs7mQYcNuxpZ6xqC/qz0c4Rd7a3nHHeuC8bW0ZP4xPIfkITyl37y/knfuuxt3bTUAhROnMP/715GYasfj8fDiiy/S2NgIwKRJk1i4cCF6/cBAU/FHaH+hAv8uDyFUblb8rJJji6G+OdrJn68Yh+YUT+mr4TCt//0vrffcgxyJ0qOHZ8+SGJbrY5TjaqZ98w9otEP310UQBOFYnJQ+qIIgnDyhUBv7D9xFY+NzgIpGk0BBwf+Qk/0dZHnwM3kbO3z8aFc1DcEweknilmInV2cN3Sn9cCjI2qVPs/H1l1FVBVNiEmdd/SNGzJiNJEls27aNN998k1AohNFoZPHixYwcOfKQ54Tqu/A8vZdoW4A2FH4Z7WG/RkED3HzeKL59RsGhLz/JAnv2cOA3NyBVVCEDm4skNs4JcUHUTvHi58gpHvOZzxAEQfgyEQGqIJxmqhqlofE59u+/i0jEC0CGYzHFxb/BYDh8d4zPQ1FV7q1r5fYDjURUyDfpeaA0n7LEoTulX793F+/e9y/amxoAGD5jNnOv/hHmpGQCgQDLli1j+/btAOTl5XHxxReTnJw84BmqquJb04h3WRVEVXYrEX6Dn3aNikWn4f7vTGJmsf2Ufi4lFKJ5yX9of/C/yFGVLiM8Nw+mObr5RtYPmXrZjciaU7sJgCAIwlAgAlRBOI28HZuoKL+Vru5dAFgsIxhWcjNW68npaekJRfjZnlpWtMWm9Benp3Dn8BwStUMzCAoF/Kx6+jG2vvsmqCoJ1lTmf/8nFE+aCkB9fT0vvvgi7e3tSJLEnDlzmDVrFrI8sFerEuid0t8Zq+ddFg5xlzZAUIKcFBOPXDOF4vRTuyDTv20b+399PZqaRmRg3XCJqjMCXBLNIO/SF8gqLD2l4xEEQRhKRIAqCKdBMNjK/v130NT8EgBabSKFhdeT5bwCWT45/7f8xNvNtbtraAqGMcgSfyzO4iqnbchO6Vdv38LyB/5NZ2sLAKPPWsCZV30PY4IFRVFYs2YN77//PoqikJyczCWXXEJubu4hzzl4Sl9RVZaEgzynC6FKMKUglfu/NRHrKVwMpQQC1P/j73T9//buOjyr+v/j+PPOdXewZgxGhwiIhSKIKCk5bMVGLGzlq2IHKiiKSkiIgIQipaQoSLMBg42xjXX3Xef8/phf/PEdtbFxD3w/rovr0ptzPud9tqEvPjlnHjoVSpxhyQ3Q17uMNmGP0m3YU9JrKoT415OAKsRFpCgWMjPnkHrsY2y2CgCCg24nOvpJjMamGV5WVJVP0/N4+1g2NhWinRyY0TaCeFenJnnehaqpqGDDnK9I3LAOAHc/f268/1Ei2ncCoLy8nKVLl5KamgpAmzZtGDhwIE5Op76PqqpU/pFNycpUsKmU2RT+Y6thm7F2MdSwLqG8ObgdRv3FOxmrcscOjj47EWNWAVpgU7yGiu5V3K6EETJiKcGRcRetFiGEaM4koApxkRQVbyM5+TUqK2v37HRza0erVq/h4d6hyZ6Zb7bw2MF0fisqB2BogBdvx4bi2kyH9I/u+IN1M6dRWVwEGg2dbrqFq0aNw+hYGz6Tk5P58ccfqaqqwmAw0L9/fzp16lSnF1ipsVK8+AjV+wsASDHbmKypJsWoAPBsvzjGXxN10XqPlcpKjr31H8yLlmEECt1gZR+Fwe4VEPkEXYdORKNtvkfICiHExSYBVYgmVlOTxZGjU8jL+xkAg8GL6OinCQ4ajkbTdKHk9+IKHkxKI9dsxUmr4Y2WoYwK8m6WQ/pVZaX8+vXnHN62GQCvoBD6jn+M0LjaeZhWq5W1a9fy55+1J2kFBgYydOhQ/Pz86rRlPlFB4XcHTw7pbzJZmepoIg8FR4OWj0Z0pF/boIv2bmVbNpP63NM4/H06168dNDh0LmeEEk3g6C8ICm910WoRQohLhQRUIZqIophIT/+aY2mfoSjVgJbQkDFERU3AYPBssufaVJWPj+fy3rEcFKClswMz4iNo3QyH9FVV5dDWjfz67QxqysvQaLV0HTiEHsNGYTDWnpSVn5/PDz/8QG5uLgBXXnklN9xwA/r/2RP05JD+ilRQVKoUlSXVZr5zt1BuU/B3c2DmHd1oF+pRp46mYCsr48jkF1BXrsMByPOA9X1sDHeupDrmKToOflx6TYUQ4gwkoArRBAoLN3I4eTLV1WkAeHh0oVXsq7i5tWnS5+abLTyUdJzNxbXzW28P9GJKbCguzXDRTXlRAeu+/IzUXTsA8AuL4KYHJxAQFQPUBs5du3axatUqrFYrzs7ODBo0iNjY2Dpt/e+QfrZFYaHGxjI3MxabSnywO1/d0ZUgj4sT0ovWreH4S8/jWFyJAvzaBYLalTGEOPzGfEFgi5iLUocQQlyqJKAK0Yiqq9NJPvIGBQW1C3yMRj9iYiYRGHBbkw+tby4q56GDx8k3W3HSankrNpQRQd5N+syGUFWV/b+uYeOcmZirq9Dq9Fw5dARX3DYMnd4AQHV1NStWrCApKQmAqKgoBg8ejJubW532zCcqKJibhFJsQlFVEmtsLPfTsaqiGhS4sU0AH43oiItD0//nzlpcTNJLT2JYtw1HIMsbdlxvYbhDNYWtJtHhtoel11QIIc6DBFQhGoHNVs3x419wPP0LFMWMRqOnRegdREY+il5fN1Q16rNVlffTcvgwLRcVaOXiyIz4CFq5ODbpcxuiNC+HNV98QvqBvQAExsRy0wOP4RsWcfKa9PR0Fi9eTGlpKVqtluuvv56ePXvW2dtUVVUq/8yheHkKmr+H9LebbKyJNLIppwSAB66J4tmb4tA28bGlqqqS99OPZL32Go7lJhQNrOsG8XHF9NN1wG3s50SHXPwTqoQQ4lIlAVWIC6CqKvkFazhy5A1qampPOfLy6kls7Mu4urRs8ufnmGqH9H8vqR3SHx3kzestQ3HWNa9eOkWxseeXlWxeMBuryYTeYKTXiLF0HnAbWq3u72sUNm3axMaNG1FVFS8vL4YNG0ZISEjd9mqsFP6QjOlAIRpqh/QPejqwKNjC/pwS9FoNbwxuy4hudfdFbWzW/Hz2TXoEp637cATS/SD5mhqGGs3ktH2FDrc8IL2mQghRTxJQhWigyspUko9MpqioduW5g0MQLVu+gL9fv4uyUn5DURkPJ6VTaLHirNPybmwoQwOb35B+4YkM1nw+lazkgwCEtmlL3wcewysw+OQ1paWlLFmyhOPHjwPQvn17BgwYgIODQ532zFkV5H2bCGVmFFXlYI1CWXc/Pk/PISunBg8nA5+P7UKPaJ8mfS9VVclcNIeCt97FqcqKVQu/dVfpGVPEVYYuOI79nK7B4U1agxBCXK4koApRT1ZrJWlpn5Ke8Q2qakGjMRIedi8REQ+i0zX9efZWReXdtBymHq8d0m/j4siMthHEODevIX2b1cpfK5awbfF8bBYLRicnrh5zF+379DulRzEpKYnly5dTU1OD0WhkwIABdOhQd29YVVUp35ZN6YoUNCpUKSoHDTqsg1rw6m+HqTTbiPR14es7uxHp69Kk72bKOsHepx/EbecRHIFjAZDbu5oRBgsZHV6n4833Sq+pEEJcAAmoQpwnVVXJzV3B0aNvYTLXbnnk43MdsS1fxNk54qLUkFVj5qGk4/xRWgnAuGAfXosJwamZDennpaWyevrH5KWlABDZsQs33PcI7r7/7FtqNptZvXo1O3fuBCA4OJihQ4fi41O351MxWcn97hC25GI0QI5FoTzeh/woJ95cnYSiQo8oH6aP7Yync9MdW6oqCkdnTafyo2m4mRTMOthypcINEYUEOl6JLmE6XQNbNNnzhRDi30ICqhDnobziEMnJkykpqd0o3skxjNjYl/D1vf6i1bC+sIxHDx6nyGLDVaflvVYtGBTgddGefz6sFgt/LF7AjuU/oNhsOLq4ct2d99O693WnTHvIzc3lhx9+ID8/H4BevXpx3XXX1dnbFGpX6WfN3I++yoqiqhxRNLQY3YofM/KZ+8shAEZ0bcF/BrVt0mNLq46lsuepB/BKzMQBOBIM5qsqGKGF413epnO/u6TXVAghGokEVCHOwmIpJfXYh2RmfgcoaLWORIQ/SFjYfeh0dedHNkkNispbx7L5LD0PgHauTsyIjyDS+eI8/3xlJR9izRdTKcxMB6Bl9570uftBXDz/CdGqqrJjxw5Wr16NzWbD1dWVwYMHEx0dXac9VVUp2pBJ5eo09EC1opIR6EKbMa14ZmUim48UoNHA8/1bc2/vyCab96vabBz44h2U6XPwsqjUGGB7Dxu3hBaQ49wb7bhpdPGvu5BLCCFEw0lAFeI0VNVGVtYiUlLfx2IpAsDfrz8xMc/h5HTxwkhmjZkHE4+zo6x2SP+uEF9eiQ7GsRkN6VtMNWxdOIedPy8HVcXZw5M+9zxIbPdep1xXWVnJ8uXLOXz4MAAtW7Zk0KBBuLjUnS+qmGykf7UffUY5WiDPpuJwUwTRnXxImPUXR/MqcDLo+HhkR/rGBzbZu5WmHGb/hPvwOVLb03soDFy6lzFUpyP9ig/o0u/OJnu2EEL8m0lAFeJ/lJbu5nDyq5SXHwDAxaUlsS1fwtu71znubFxrCkp5/GA6xVYbbjotH8SFMdDf86LWcC7pB/axZsZUSnNzAGhz9fVce8d9OLmeuvfrsWPHWLJkCeXl5eh0Om688Ua6d+9+2l7PymMl5HydiINFQVFVMpwMtBnfnqM1JsZ+tpXiKguB7o58dUdX2oY03bGlR1cvpvTZl/GpUagywr6eFgYFFZLidj26hE/p7BfUZM8WQoh/OwmoQvzNZMonJeUdsnOWAKDTuRIVNYHQkLFotYaLVodZUXgjNZsvMmp77Tq41Q7phzs1nyF9U1UVm777mn3rfgHA1ceXvvc9QmSnrqdcZ7PZ2LBhA5s3127F5evry9ChQwkKqhvuVFXlxMpUbFuzcKB2SL+igx9XjmzFj3uyeG7Jfsw2hfahHnw5risB7k2za4Gqqmz7+EXcv1iCswqpweDdq4SBOiNpPT6ha9+xTfJcIYQQ/5CAKv71FMVCZuZsUo9NxWar3fA+KGgY0dFP42D0vai1pFebeCDxOLvLqwC4L9SXF6ODcWhGi29Sd+9g7ZefUVFYe+59hxv703v0XTg4n7rFVnFxMYsXLyYzMxOAzp07069fP4zGuqvsLRUWUqbtwbWoBh1QqNHgf2cbouO8+WBtMp/+dhSA/m0D+eD2jjgZdU3ybpaaan6dMJKwDckAHGitcF37PNI8+mC44zM6+QQ0yXOFEEKcSgKq+FcrKtrK4eTJVFXVBiB3t/bExr6Ch0fHi17LqvwSJhzKoNRqw0Ov46O4FvT387zodZxJdXkZv836koObfwPAMyCIvg88Sov49nWu3b9/PytXrsRkMuHg4MCtt95KfHz8advN35dP8fxDuKqgqCpFga60fqAdil7LI/N38fP+2ukDD18XzZM3tmqyY0vzThxhz31jCEstR9HA4SvN9GtRyqHOb9Dttoea5JlCCCFOTwKq+Feqrs7kyNE3yc9fDYDB4E1M9NMEBQ1Do7m4vZUmReE/KVl8lVnbI9nZ3Zkv4iNo4dh0+3nWV/IfW1j/9edUlZag0WjpPOA2et0+BoPDqcPsJpOJVatWsWfPHgBatGjB0KFD8fT0rNOmYlM4NPcQLkkFOGs01KigvyGcjjeGk1dWw71f/8m+zFIMOg1vDWnP0C6hTfZ+e7cto/yJF2hRYqPKCFXXlHOlrxO5g5bRrcPFnXsshBBCAqr4l7HZajiePoPjxz9HUUxoNDpCQsYSFTkBg8H9otdzvNrEfYlp7CuvBmB8Cz+ejwrC2EyG9K1mM7/NmnFyrqlPaBg3jX+coJat6lyblZXFDz/8QFFRERqNhquvvpqrr74ana7ucHxZTiWpn+/Dt8YKGg1ljjrCHuiAa5ALiVml3DvrL7JLa/ByNvBFQleuiGyaI1xVVeXnb18h+INF+FigwFMl+OoijF7xON83n2DfptshQAghxJlJQBX/Cqqqkl+whiNH3qSmpnZOpKdnd1rFvoKra92wdTGsyCth4qF0ym0KXnodH7cOo69v061Kr6/SvFxWfPgWualHQKOh+6DhXDl0FHrDqQvGFEXhjz/+YN26dSiKgru7O0OGDCEiIuK07R5ZdxzbmuP4ajWoqoopzpu4cW3Q6rSsTcrl8QW7qTLbiParPbY03Kdpji2tNFey7KWxdFpWu9n/iRYK3bvlcSBiLFfc/SG60xwaIIQQ4uKQ/wKLy15lZQrJyZMpKt4CgINDIC1jnsff/+Ym29z9bGpsCq+mZPHtidoh/W7uLnweH05IMxrSP7ZnJz9/8h41FeU4urox4NGniOjYpc51FRUVLF26lJSU2iNN4+LiuPXWW3H+nwVTADWVFvZ+sY+A3EqctBrMGvAY3ooWXQJQVZUvN6Xy5qqDqCpcFePLZ2M64+HUNLsnpOUd5s9HEui0rxyA3Hgz3dtUcKTXh/SQvU2FEMLuJKCKy5bVWs6xY5+QkTkLVbWi0RgJD7uXiIgH0enqBqiLIbXKxAOJaeyvqB3SfyTMn2cjgzA00cKf+lIUG38sXsC2xQtAVQmMbsnAJ57D3c+/zrVHjx5l6dKlVFZWotfr6devH126dDlt6M/YX0D2dwcJAdBoqPF0IPzB9hg8HLHYFF5edoD52zMAGN09jNdujcfQRIcRbNi5mOqnXqF9tg2bFqzdK4iOcKXo9p/p3LpuCBdCCHHxSUAVlx1VVcjJ+ZGjKe9gNtfuJerr24eWMS/g7Bxut7p+zC3mqcMZVNgUvA06PmkdTh+fiz/v9UyqykpZ9en7pO3dBUCHG2/m2jvuqzOkb7VaWb9+Pdu2bQPA39+fYcOG4e9fN8RaLTZ2zk/GbX8+wToNKqDrFkD04JZotBpKqyw8+N1Ofk8pRKuBFwe04a5eEU3Ss21TbMxd9BIt31lKQCVUOakE9SoiN6wLHvfPxd3Tp9GfKYQQomEkoIrLSln5AZIPv0pp2W4AnJwiiI19CV+fa+1WU7VN4ZWjJ5idVQjAlR4uTI8PJ8ih+Qzp5xxNZvmHUygvyEdvdODG+x6mzdXX17muoKCAxYsXk52dDUC3bt3o27cvBkPdofiCzHL2zthPtMmKXqfBqtfil9Aal1a1C56OFVRyz7c7SC2oxMWo45PRnbg+rmn2GS2uKeab9+6kz/xkjDYo81aI71nA/vh76T7uTbSnWcglhBDCfiSgisuC2VxESur7ZGUtBFR0OmciIh4hrMWdaLX2O4HpaFUN9x9II6myBg0wITyAJyMC0TeTIX1VVdm7dhUbZs3AZrXiFRTMwInP4xcWUee6PXv28PPPP2OxWHBycuK2224jLi6uTpuKorJndRo169JpZdCCRoMS6EKLe9qic6sN5X+kFjJ+7k5KqiyEeDrx1R1daR3UNL3J+3P2suHFe+m/pfYQhqowC626VZFyw+f0uG54kzxTCCHEhZGAKi5pimLlRNZ8UlM/xGotBSAg4FZiYp7F0cG+WwT9kFPEM8mZVNkUfA16PmsTzjXebue+8SKx1NSw9qvPTm68H9OtB/0emoCD86mr5s1mMytWrGD//v0AREREMGTIENzd6wbKssJqtn6VSHhBFf4GLSrgfHUo3v0i0Pwdyr//K4MXlu7HYlPp2MKTGeO64O/W+MeWqqrKkr1zMb34FjccVQDQtq3Eq50nlQnL6BB1+oMDhBBC2J8EVHHJKi7ZQXLya1RUHATA1bU1sbGv4OXZza51VdkUXjiSyfzsIgB6eboyrU04AQ5NsyK9IYqyTrDigzcpyDiORqul9+g76XrL4DpzP2tqapg3bx7p6eloNBquu+46rrrqKrT/s0+rqqok/5nD0e+TiTdo0Os0KA46/BNa4xjjBdT2rL69+hBfbEwFYED7IN4f3gFHQ+MPr9dYa/h4+XN0fv8XQgvBqlMJ6F5CenxP2jzwDc6uzWc7LyGEEHVJQBWXnBpTDkePvkVu7goA9HoPoqMmEhw8Eq3Wvj/ShytruD8xjcN/D+lPjAhgYkQgOjtsZ3UmR/78nV+mf4i5uhpnD09umfAsLdq0q3NdRUUFc+fOJScnBwcHB0aNGnXavU1rKi1snHMI18NFdHCoDa66MDeCEtqcHNKvMluZsGAPa5JyAXjs+hgm3BDbJMeWZpZn8slX9zNs1jFca8DsrBDVq4jEHo/RfeQLaJrJIQhCCCHOTAKquGQoion09G9IO/4ZNlsVoCEkeCRRURMxGpvmpKH6WJBdyHPJJ6hWFPyNeqa1Cecqr+YzpK/YbGyeP4u/ViwBICQunlsmPIurV92vXUlJCXPmzKGwsBAXFxfGjh1LUFBQnesyDhax7dtE2ioq7g61Q/rufVrg3if85JB+TmkN98zaQWJWGUadlneGtWdQp5AmecfNGZtY/cETJPxShU4Fm6+F4F5m0m/9lit7DWiSZwohhGh8ElDFJaGg4DeSj7xOdXUaAB7unYiNfQV397o9fxdbpc3GpORMFuUUA3C1lyuftQnHz9h8hvQriov46eN3yDx4AICuA4dw1chxpz0tqaCggNmzZ1NWVoaHhwcJCQn4+vqeco3VbGPbjykUbT7BFc469DoNOOnxG9MaxxjPk9ftzyzl3tk7yC0z4eNi5IuELnSNaPy/TCiqwoyd0zC/P50xu2vnmxojqrH28EW5ZyHxodGN/kwhhBBNRwKqaNaqqo5z5MjrFBT+CoDR6EtM9LMEBg5Co7H/UO3BimruT0zjSJUJLfB0ZCCPhQc0qyH9zKQDrPz4bSpLijE6OXHTgxOI7d7rtNdmZ2czZ84cqqqq8PX1JSEhAQ+PU+dr5qeXs/7rREJLTXRxqf1PiDHSA5/RcSeH9AF+OZDDEwv3UG2x0dLfla/v7EYL78Y/IKHUVMprq56k57StxKeDiopPh3KO97iG9g98iaNT0xyVKoQQoulIQBXNks1WRVraNI6nz0RVzWg0elqE3kFk5KPo9fYfNldVlfnZRTx/JJMaRSXQaGBam3B6ernau7STVFVl58qlbJr3Laqi4NsinIETn8c7+PTD68ePH2fevHmYTCaCgoIYO3YsLi7/hDtFUdm95jiJK4/RxUmHx8kh/TDc+4SdHNJXVZXPN6by9i+1Z9xfHevHp6M74e7Y+D3KBwsP8vbCh7lzdjYBJWAzqIRcWcqRm57mimETG/15QgghLg4JqKJZUVWVvLyfOHJ0CiZTDgDeXlcRG/sSLi4xdq6uVoXVxrPJmSzOrR3Sv87bjU9ah+NrbD5/nExVVaye/hFHtv8OQOurruXG+x7B4Hj67ZySk5P5/vvvsVqthIeHM2rUKBz/37VlBdWs+zYJ7fEyrnbRoddo0Ljo8R0Vd3KVPoDZqvDC0v0s2pkJwLge4bx8Sxv0TXBs6Y9Hf+Sn2a/y2I8mnMyAqw3v3lZyx8zliq59Gv15QgghLp7m839U8a9XUXGYw8mvUVLyJwCOjqG0bPk8fr59m+Toy4ZIrKjm/gNppFSb0GlgUmQQD4f5o20m9QEUpKex/IM3Kc7OQqvTc92d99Phxv5n/Bru37+fpUuXoigKsbGxDB8+/JSToZK357Bp3mHiNBDx3yH9KA98Rsahc/9nSL+40swDc3ey/VgRWg28MjCeO3pGNPr7mW1m3vpzCpZZ3zNho4IWMAaYMF0TiPGhhcQFtmj0ZwohhLi4JKAKu7NYykg99hEnTsxFVW1otQ6Eh48nPOx+dLrG38C9oeZlF/JcciYmRSXYwcDnbcK5wrP5DOkDHNz8G2u+/BSryYSbjx8Dn5hEUMtWZ7z+r7/+YuXKlQC0a9eOQYMGofv72E9zjZVNC5I5/mcOPVz1eOhqA67b/wzpA6TkV3D3tzs4XliFq4OeT0d34tpW/o3+ftkV2TyzdgK95+ynd5IKgGdMJcdv6kuXBz7DYLTfqWFCCCEajwRUYTeqqpCd/QNHU97FYqnd1N7P7yZaxjyPk1Oonav7h6qqfHw8l7eO1U45uMHHnamtw/A2NJ8/PlaLhQ2zv2Lvmp8ACG/fiZsffQpn9zNvSL9582bWr18PQLdu3ejfv//JDfhz08pYOzMRS2E1V7npcdFq0LoY8B7ZCseWXqe0s/VoAQ/O3UlZjZVQLydm3tGNVoGNP094W9Y23lz5FPfPLyImG1SNik/nSjJGvMCVt45v9OcJIYSwn+bzf1jxr1Jatpfkw69SVr4PAGfnGFrFvoy39+lXl9uLoqq8djSLLzLzAZgQHsAzkYHNaki/rCCPFR++Rc7RZACuHDqKHsNGotWe/oQmVVVZt24dW7duBaB3795cf/31aDQaVEVl99p0/lyWijMqvd0NOAI6H0f87m2H3uvUHu3529N56ccDWBWVzmGezBjXFV/Xxu3FVFSFrw98zU8/fcykH6x4V4DGqOBylUrFg4vo2u7KRn2eEEII+5OAKi4qk7mAlJR3yc7+AQCdzpWoyMcIDR2HVtt89g0FsCoqTx7OYGFObe/u5Jhg7m/R+MPWFyJt7y5++uQ9asrLcHRxpf+jTxLV6cxHvSqKwsqVK9m1axcAffv2pWfPngBUlppY900SmYeKcddBbw8jekVFH+CM3z3tTplvalNUpvx8kK+2HAPgto7BvD20faMfW1puLueFLS9g/mU9r/6kYLSBwd1C1Q0hBD35PR4+AY36PCGEEM2DBFRxUSiKhcwTc0lN/QibrQKAoMAhREc/g4ODn52rq6vGpvBg0nFWFZSi08CHcWHcHmj/06r+S1UU/li6kN8XzQNVJSAqhoFPPIeH/5kDm9VqZcmSJSQlJaHRaBg4cCCdO3cGIG1fAetnH6SmwoKvo5aebgY0FgVDiCu+d7dF5/LPXx4qTVYeX7CbdQfzAHjihlge6xPT6AvZkouTmbh+Aj1/SmPwttr5pq7BNWQOGcAV4z867SEDQgghLg/yX3jR5IqKfif5yGQqK48A4ObWllaxr+Dh0dnOlZ1ehdXGHfuPsbWkAgethhnxEdzke+a5nBdbdUU5qz55j2N7dgLQvk8/rrvzfvRG4xnvMZvNLFy4kJSUFLRaLUOHDiU+Ph6rxcbvS1LY/1vttlBRQc60s9rAomAMd8f3rni0jv/8ZyKrpJp7Zv3FwewyjHot7w3vwK0dghv9HX9K/Ym3N7zKfUsq6Xq0Npy6xdWQ98Cr9Oh/R6M/TwghRPMiAVU0mZqaLI4ceZO8/FUAGAzeREc9SXDwcDSaxh0KbiyFZiuj96Wwt7waV52WWe0i6eVl/4MB/is39SjLP3iTsvw89AYjfe59iLbX3nDWe6qrq5k3bx4ZGRkYDAZGjBhBTEwMRdmVrPkqkcITtT3aV3bxJ+B4KVgVHGI88RnXBq3xn+/TnowS7pv9F/nlJnxdjcwY15XOYV5nemyDWGwW3vvrPdZt+44XfrARVgBoVYzdtdgmLaVzq46N+jwhhBDNkwRU0ehsNhPp6TNIO/45ilIDaAkNHUNU5BMYDM2nJ/J/nagxM3JvCkeqTHgbdMzvEE0Ht8Y/mrMhVFVl/6+r+fXrz7FZrXgGBDFw4nP4R0Sd9b6KigrmzJlDbm4ujo6OjBkzhtDQUBI3n2DL90ewWhSc3Az0uTYE3e9ZYFNxbO2Nz+jWaAz/bK7/075sJn6/B5NVIS7Qja/u6EqoV+N+bfKq8nhyw5OY/9rFm0sV3KtB52ijqm8LQl9YhJtH85liIYQQomlJQBWNRlVVCgrWkXzkDWpqMgDw9LyC2NhXcHONs3N1Z3e0qoYRe1I4YbIQ7GBgYYdoWro0jz1YLaYa1s/8nMSN6wCI7tqdfg89gaPL2fdgLSkpYfbs2RQVFeHi4kJCQgKebj78MuMAqbtrdyVo0dqLqzr7UfXzMVDBqYMf3rfHovl/Jz+t2JvFo/N3A3BdKz+mjuqEWyMfW7ojZwdPb3yaTtvyuXuNgl4BRy8zuWNupftD76PRNv5JVEIIIZovCaiiUVRWppJ8ZDJFRZsBcHAIJCZmEgH+tzSbU6DOZF95FaP2plJosRLt5MDCjtGEOp55PufFVJyTxYoPppB//BgajZarRo2j28Ah5wxs+fn5zJ49m/Lycjw9PUlISKCmUMvCj7dTUWxCq9Nw5W3RxLjqKV2eAoBz1wC8hrQ8ZQP+nceLeHLRXgBGXRHG64PaotM23vdTVVVmJ81m6vYPGLvWQr9dtfNNncLMlD31Blf2HdlozxJCCHHpkIAqLojVWsGxtE/JyPgWVbWg0RgJC7uHiPAH0etd7F3eOf1eXMG4/alU2BTauzrxXYco/IzNY7urozv+4JdpH2KqqsTZw5MBjz1DWNv257wvKyuLuXPnUlVVha+vL2PHjOXw5iJ2rkpDVcHD34m+98TjlFZ6Mpy69gzG45aoU8Lp8cJK7pu9E7NV4YbWAY0eTistlby09SV+P7SGZ5cqtDteG051HXQYpqykfVTrRnuWEEKIS4sEVNEgqqqSk7uMo0ffxmyu3W7Ix+c6Ylu+iLNzhH2LO09rCkq5PzGNGkWlh6cLs9tF4aa3/+ItxWZj68I5bF9Wu1dscGxrbnniWdy8fc95b1paGvPmzcNsNhMcHMxt/Yey/ssUclJLAYjrGcRVw2Oo2XyC0l9rp2G4XdcC977hp/R0l1SZuevbHRRVmmkb4s7UUR0bNZymlqQyYcMEzCmpTFlkI7AENHqF6uvDiZuyGCeX5rMwTQghxMUnAbUBVFVFVS32LsNuKiqTSU6eTGlp7TZHTk7hxLZ8CV/f6+xc2fn7IaeIxw+lY1PhJl93Pm8TgZPO/vMcK0uK+Wnqu2Qk1p6w1fnm27h6zF3ntefn4cOHWbRoEVarlYiICK6I68PyDxIxV1sxOuq4dkwcMV39Kf3pGBVbTgDg3i8C92tbnNKO2arwwJydpOZXEuzhyMw7uuFsbLz/VKxOW83LW1+m1aEKJixTcDKD3sVGccJtdHvsbZlvKoQQQgJqQ1RXp7Ptj+vtXYbdabVOREY8TFjY3Wi1jXu8ZVP6KjOfF4/UBrThgV582CoMfSP2DjbUiUNJrPzoLSqKizA4OnHT+Mdo1aP3ed27b98+li5diqqqxLaMxc/Snt++rd13NjDKnRvvjsfN25GSpUep3J4DgOet0bj2PHUPU1VVmbRkH38eK8LVQc/MO7sR4N44i8WsipWPdn7ErMRvGfinytjfbGjQYPCzYX7xDa64aXijPEcIIcSlTwKqaAANAf4DiImZhKNjkL2LOW+qqvJeWg7vp+UCcF+oL6/FhKC18yIuVVXZvWo5G+d+jWKz4R3SglsnPo9PaItz3wxs376dn3/+GYBW0W2wJYeSnJsHGujaP4JuAyLQAEXfH6Z6Tz5owGtoS1y6BtZp65Nfj7Jk1wl0Wg2fjelM6yD3RnnHguoCnt74NHtP7ODhVQrXHFABDcQYcPt0GQERsY3yHCGEEJcHCagN4OQUyjVX77F3GXaj0ejR6ZzsXUa9KKrKi0dO8PWJAgCeiQzkifAAu+8wYK6uYvUXn5C8rXb3g1Y9r6bvA49idDz311dVVTZt2sRvv/0GQFRQG4r/8EW11eDq5cANd7UhJNYL1apQOO8QNUmFoNXgPbIVzu3rHi/74+4TfLA2GYDJt8VzTWzjHEG7O283T254Ekt+Hq/9oBCTrYJGpfqqcNpMXYKjU/NfTCeEEOLikoDaABqNDr1eFnFcKiyKyoRD6SzOLQbgzZYh3B3aOOHrQhRmprP8/TcpyspEq9NxTcK9dOp3fttyqarKmjVr2LZtGwBBjq0o2+2DBojq6Md1CXE4uhhQzDYK5yRhOlICeg0+Y1rj1NqnTnvbjxXxzA+1817vvzqKMd3DL/j9VFVl3qF5vLfjPVpkWXjuBxueFaA1KlSMHUiXZ9674GcIIYS4PElAFZe1apvCfYlprCssQ6+Bqa3DGRLQuMdzNsShrRtZ88UnWEw1uHr7MPCJSQTHnt+2SjabjZUrV7J7d+3m+Z6mllhzAtAbtFw1vCXxvYPRaDQoNVYKvk3EnFaGxqjFZ1wbHGPqvvuxgkrun/MXZptCv/hAJvW78EMVqixVvLbtNX4+9jM9khQe/cmG3qpB667AK/+hy4DbL/gZQgghLl8SUMVlq8xqY9y+VP4orcRRq+HL+Ahu9LXvUas2q4WNc79m96oVAIS1bc+Ax57B2cPzvO63Wq0sXryYgwcPAhrcSltiqA7EJ8SFG++Jxye49nQpW6WFgm8OYMmsQOOow/eutjiE151PWlxp5q5vtlNSZaFDqAcfjuiI9gIXjB0vO86E3yaQUnyEkZsUhvxeO99UDTHgPWMRftGtLqh9IYQQlz8JqOKylG+2MGpvKgcqqnHTaZnTPoorPc9+NGhTKy8sYMVHb5GdfAiA7oNvp+ftY9Bqz2/vVZPJxMKFC0lNTUWDFrfiOBxMvrS7NpSeQ6PRG2rbsZWbyf9qP9bcKrTOenzvaYcxpO67m6w27p/zF2mFVYR4OvHlHV1xMl7YPrC/pv/KC1tewFJZzrPLFTofqd1839Q5lPivl2M4j7m1QgghhARUcdnJqDEzYk8KqdUmfA16FnSIoq2bs11rOr5/Dz9NfZfqslIcnF3o/8hEort0P+/7q6ur+e6778jMzESjanEvjsfd4M/197Qmsv0/G/hbS2oo+OoA1oJqtG5G/O5tiyGg7iIkVVV55od97Egrxs1Bzzd3dcPfreHbSdkUG5/u+ZSv9n+FX4nKm4tsBBYAWhXT7f3o+OpHDW5bCCHEv48EVHFZOVxZw8i9KWSbLIQ6Gvi+QwxRzvbbo1VVFLYv+4GtC+eiqgp+EVHcOvF5PAPqbvF0JuXl5cyePYf8/Dw0ih6P4rZERodzw51tcPH8592sBdXkf7UfW4kJnacDfve1Q+9z+h7LD9cdYdmeLPRaDdPHdiE2oOGL/opqinh207P8kf0HcRkqL/xgxaFGg8ZRRf/SS7QeOqbBbQshhPh3koAqLhu7y6oYsy+FIouNWGdHFnaMIsjBaLd6aioqWDXtA1J3bgeg7XU3cv3d4zEYzz8wFxcX883MbymrKEVrM+JV0p5et7Sj041haP7fXFFLbiX5X+1HKbeg93XC99526D1P/5zFOzOZur52E//XB7XlqpbnPkL1TPbn72fixonkVObQd4/KPautaBQNio+BoK/m4d26bYPbFkII8e8lAVVcFjYXlXPngWNU2hQ6uTnzXYcovA32+/HOPZbCig/epDQvF53BQJ+7H6Td9X3r1UZOdg7ffD0Lk6UardWRUE03BkzsRkDkqYudzJnlFHx9AKXKiiHQBd972qJzO30w35ZSyKQltdtJPXhtNCOvCGvQ+6mqyqLkRby1/S1sVjMPr1W5ZpcCaDC3CiL+u+XoXe0751cIIcSlSwKquOT9nF/C+MTjmFWV3l6ufNM2Elf9hS32uRD7f1vD+pnTsVksePgHMPCJ5wiIiqlXG0cOHmPBwnnYsKCzONM5og83JnTA6HjqH1lTWikF3ySimmwYWrjhd1c8WmfDads8mlfBA3P+wmJTGdAuiKf7Nmw1fY21htf/eJ1lKctwqVZ5bbGNsIza37MOuIb27023+wEIQgghLm0SUMUlbV52IU8dykABBvh5MK1NOA5arV1qsZhN/Pr1Fxz4bQ0AUZ270f/hJ3GsZ0/iltW7Wf/7SlSNDYPVnYH9htC+d0Sd62qOFFM4OwnVomCMdMf3zni0Dqf/I11YYeLub3dQVmOlU5gn79/eoUHbSWWUZzBxw0QOFR0ipBDeXGjBqVQLOnB4+gla33l/vdsUQggh/pcEVHHJmp6ex2spWQCMCvLm3dgW6C9wD8+GKsnNYcUHU8hLS0Gj0dJrxFiuuG0YmnqEZYvJxo/f/EZi9lbQqLhofbnzwbH4hXjWubY6qZDC7w6CTcUh1gufsa3RnmGLqBqLjftm/0V6URUtvJ34clxXHA3172HelLmJ5zY/R5m5jB5HNUz40YTGokVx1RP0+Uy8u15R7zaFEEKI05GAKi45qqry1rEcPj6eC8CDLfx4OTrYbsPKKTu3s+qz9zFVVuLk5s6Ax54hvH3HerVRkFnOD1+tIUfdDxrw92jBPQ8l4HCaRV5Ve/MoWngYFHCM98FnVBwa/emDsKKoPLVoL7vSS3B31PPNnd3wda3frgY2xcYX+77g872fo6oKd25TuXmTDVQt1lAf4uYvxeBn/6NjhRBCXD4koIpLik1VeS45k9lZhQC8EBXEo+EBdqlFUWz8/v08/ly6EICglq24ZcIk3H3PP6ypqsq+XzNZt2oD5a4poIGWka0ZOXYYOl3dXs7KHTkULzkCKjh38sdrWCwa3ZmD+ftrD7NyXzZ6rYbPE7oQ41+/7aRSS1N5actL7CvYh96q8p8VFqIPaQENSq8uxE//Gq3RfjslCCGEuDxJQBWXDLOi8OjBdJbllaAB3mkVSkJww7dIuhBVZaX89PE7pB/YC0CnfgO5JuFudPrTL1A6fRtm1s9K4mDabqrcjgPQtUs3bh7QH+1ppgaUbzlB6cpUAFy6B+J5W8wpW039r+93ZPDZbykATBnSjp7R5/+1sik2ZifN5tPdn2JWzARU6nlnQQVOeXrQgOMD9xDx+JOyGEoIIUSTkIAqLgmVNhv3Hkjjt6JyDBoNn7YJ4zZ/L7vUkpV8iBUfvUVFYQF6Bwf6PvAYrXtdU682MpKKWPttIvnqIardTgBw7bXXcs0115w29JX9lk7Z6toQ69o7BI+bI88aDrceLeD5pfsBePT6GIZ3bXHetf3/XlOAAWkKdy6rRK3Soxq1BH74Md59bjjv9oQQQoj6koAqmr0Si5WEfcfYUVaJk1bL120juM7H/dw3NjJVVdmzeiUbZs9EsVnxCg7l1onP4dsi/LzbsFkV/lyWyq61xyn3SMbkXDuPtn///nTvXvfoU1VVKVudRvmGTADcbwjDrU/YWcPpkdxyxs/diVVRubVDMBNvjD2/2v6n19RZgSnbygje4oSq6LD5eBAz+zsco6PP+32FEEKIhpCAKpq1XJOFkXtTOFhZg4dex3fto+jqUfds+aZWVVbK+pnTSf5jCwCxV17FTeMfw+jkfN5tlORWsfbrRHKPl1LmeRCzYyEajYZBgwbRoUOHOterikrJihQqt2UD4HFzJG5Xh571GfnlJu76dgflNVa6hnvxzrD25zUM/7+9pr3Lq3lqtQXTEWdUwLF3L8Le/wCd+8X/i4EQQoh/Hwmootk6Xm3i9j0pHK8x42/Us7BDNK1dT3+2fFNRVZXkP7aw/uvPqS4rRavTcfWYu+l8863nPf9SVVUO/5HDxgXJmM0mKnwPYtYXo9PpGD58OHFxcXXvUVSKFx+hamcuaMDzthhcrww663OqzTbunf0XmcXVhPs4M+M8tpOyKTbmJM1h6q6PsahWXBWF59NLaLPGCVOhM2g0+D76CL7jx9dryywhhBDiQkhAFc3SwYpqRu5NIddsJdzRyPcdowl3qt/2SBeqsqSYdV9N4+iObQD4hkVw0/jHCYxued5tmKqtbPzuEEf+ykPRWKgOOohJKcFoNDJq1CgiIyPr3KNaFYq+P0z1vgLQgNfwWFw6n32nAkVRmfj9HvZmlODhZOCbO7vh7XL21fXHSo/x1OrHSK5OA6BXVTVPJ1ZR87sv5ioLWnd3Qt59B9dr6je/VgghhLhQDeoSmTZtGpGRkTg6OtKlSxc2b9581us3btxIly5dcHR0JCoqis8///yU309MTGTo0KFERESg0Wj46KOPGlKWuEz8VVrJoN1HyTVbae3iyPLOLS9qOFVVlaRNv/LtxAc5umMbWp2OHsNGMXbKh/UKpzmppSx8fXttONWbMUccpEopwcnJiTvuuOP04dSiUDj3YG041WnwGdP6nOEU4O3Vh1h1IAeDTsOMhC5E+Z359CqbYuO9Na8wdOmtJFen4aoovJRXzP27YjD/5o22yoJDbCyRi76XcCqEEMIu6t2DunDhQiZMmMC0adPo1asXX3zxBf379ycpKYmwsLA61x87doybb76Z++67j7lz57J161Yeeugh/Pz8GDp0KABVVVVERUUxfPhwnnjiiQt/K3HJ2lBUxl3706hWFLq6OzO3fRSehovX0V9eVMC6Lz8jddcOAPwjornpwcfxj4g67zYURWXXL8fZvvIYqqLi5KtQ7JlEeUUZbm5uJCQk4O/vX/c+k43C2YmYUkpBr8U3oTWOrbzP+bx5f6bzxcba7afeGdae7lE+Z7x2885lfLhrMkeMZtBAz6oahlR3ICbND/PmDQC433wzQa//B63z+c+vFUIIIRqTRlVVtT43dO/enc6dOzN9+vSTn7Vu3ZpBgwYxZcqUOtc/++yzLF++nIMHD578bPz48ezdu5dt27bVuT4iIoIJEyYwYcKE+pRFWVkZHh4elJaW4i4LOS5Jy/NKeDjpOBZV5TpvN75qG4HLaTarbwqqqnLgt7VsmP0V5uoqdHo9PYaNpuvAIej05x+QK4prWPdNEieSSwAI7uDI0YrfqayswMvLi3HjxuHlVXd7LKXaSsE3BzCnl6Mx6vC9sw0OUZ7nfN6m5Hzu+nYHNkVlwg0tmXDD6VfsHzu8i+/WT+RHp3xMWi0uisLw6mCGtXsW2/ufYTp0CHQ6Ap55Gq9x42R/UyGEEE3ifPNavbqmzGYzO3fuZNKkSad83rdvX37//ffT3rNt2zb69u17ymc33XQTM2fOxGKxYDCc/8bm4vI1N6uQpw9noAK3+XvySeswjBdpUU5Zfh5rZnzC8X27AQiKacVNDz6OT2jdEYGzSd2Tz69zDmKqtGJw0NGmvwdb9vxCTU0N/v7+JCQk4OZW9yQnW4WZgq8PYMmqROOox/fueBzCzv2XrMM55Tz03S5sisrgTiE83qfu9IMTqQfZteI5FjomsdfFAdDS1uzExCveoHWZIyeeehqltBSdjw8hH36AyxVX1OudhRBCiKZQr4BaUFCAzWYjIODUOXEBAQHk5OSc9p6cnJzTXm+1WikoKCAo6Owrk8/EZDJhMplO/ntZWVmD2hH2paoqn6bn8UZq7VZK44J9mBIbiu4i9OCpisLedb+w6btvsNRUozcY6TViLJ0H3IZWe/49t1azjS0/HCVxU+2G+/7hbrTq68KKX5ZisVgIDQ1lzJgxODnV3YHAVmYi/6v9WPOq0boY8L2nLcbgM88f/a+8shru/nYHFSYrV0R689bQdqf0euZkHOXY0lc5ZN3IZ17umLQOOCoa7olI4P6rJ1L05VdkfPwxqCqOHdoT+vHHGAIDz/udhRBCiKbUoMl9/zv8p6rqWYcET3f96T6vjylTpvDaa681+H5hf6qqMjkli+kZ+QA8Hh7ApMjAizK8XJKTzZovppKRVHvaUkhcG/o+8DjewSH1aqfwRAVrZiZSlFUJQKe+YbjHmli6dDE2m43o6GhGjBiB8TTn1VuLasj/aj+2ohp07kZ872uHwe/c8z6rzFbunf0XJ0qqifJ1YUZCFxz0tYG6ICedo4sn41O8nOl+Huz28ASgg2sc7940FX/cOPH441SsWw+A5+23E/DiC2hPU58QQghhL/UKqL6+vuh0ujq9pXl5eXV6Sf8rMDDwtNfr9Xp8fM68mONcnnvuOSZOnHjy38vKymjR4vyPcxT2ZVVUnk7OYH52EQCvRAfzYFjdhUONTVFs7PllJZsXzMZqMqF3cKD3qDvpdNOAeu3zqaoqBzaeYOsPR7FZFZzdjdxwZxsKTMdZvHg5qqrSpk0bhgwZgv40c1gt+VUUfLUfW6kZnbcjfve2Q+/teM7n2hSVxxfsYV9mKV7OBr6+sxuezkaK87M5vPg/tM1eRLKHA1ND/DBptThpHXim+ySGthyKOTWVtEfuwXzsGBqDgYCXX8Jr+PB6ff2EEEKIi6FeAdVoNNKlSxfWrl3L4MGDT36+du1abrvtttPe06NHD1asWHHKZ2vWrKFr164XNP/UwcEBB4eLuy+maBwmReGhpOP8lF+KFng/rgWjghr+l5XzVZSVyerpH5OVXLtgr0V8e/o+8BieAfUb2q6uMPPr7EOk7SsAILydD33GtWbPgZ2sXr0agE6dOjFw4EC0pwm95uxKCmbuR6mwoPdzwu/edug8zu9necrPB1mblItRp+XLcV3x0lWz7asXaZ8xjyCDlYeCvdntWBt0rwy8ksm9JhPkGkTZmjVkT3oOpaoKfWAgoVM/xql9+3q9txBCCHGx1HuIf+LEiSQkJNC1a1d69OjBjBkzSE9PZ/z48UBtz+aJEyeYPXs2ULti/9NPP2XixIncd999bNu2jZkzZzJ//vyTbZrNZpKSkk7+84kTJ9izZw+urq7ExMQ0xnuKZqLCauOuA8fYXFyBUaPh8/hwbvbzbNJnKjYbf61cyu+LvsNmsWB0cuLqMXfTvs9N9T4dKfNQEeu+SaKy1IxWr6HnkBjaXRvChg0b2LRpE1D7l7K+ffuedqqCOaOc/K8PoFZbMQS54HtPW3Su5ze8PmdbGl9tOQbA67dEY9nwDpq02XSnku883PjIyx+zFpz1zjzV7SmGtRwGikLe+x9Q+OWXADhfcQUhH36A/gJGL4QQQoimVu+AOmLECAoLC5k8eTLZ2dm0bduWn3/+mfDwcACys7NJT08/eX1kZCQ///wzTzzxBJ999hnBwcFMnTr15B6oAFlZWXTq1Onkv7/33nu89957XHPNNWzYsOECXk80J0UWK2P2prK7vAoXnZZv20bS27vuqvbGVJCexurPPyYn5QgAER06c+P9j+DuW7/pBFaLje0rjrF7bTqo4BXoTN974/EOduGXX35h+/btAFx//fX07t37tOHUlFpCwbdJqGYbxjA3fO9qi9bp/P4I/nYoj1eWJwIwwj+DG1ePx4sy0vV67vMLI+nv2QFXBl3Jaz1fI9g1GGtxMVlPPkXl3ztseN91F/5PTkRTj22zhBBCCHuo9z6ozZXsg9q8ZZvMjNiTSnJVDd4GHd+1j6aTe9NtBG+zWtmx7Ae2LV6AYrPi4OzCtXfcR/w1feq9CCs7pZRfZx+kJLcKgDa9g7lqeEu0Oli2bBn79u0D4Oabb+aKM2zTVHO4iII5B8Gq4BDlgc8d8Wgdzm+ngKSsMoZ9/jtVZhsDdduYqv8EVQOfuYfwrY8DZqw46515suuTDI8djkajoToxkROPPoYlKwuNkxNBr/8HjwED6vXeQgghRGNrkn1QhWiI1CoTt+89SmaNhSAHAws6RNPK5dwLghoqLy2VX6Z/RH5a7elKUV2u4MZ7H8bVu37D2haTjT+WpbDvt0xQwdnDyLWjWxHZwQ+LxcLChYtITk5Go9EwePBg2p9hTmf1gQIK5x8Cm4pjnDc+Y+LQGM4vnGYUlDJ2+m9UWQz00Cbyvn4afxkDmBIezhFbDmCle1B3JvecTLBrMAAlP/5IziuvoppMGMLCCP3kExxbnX4DfyGEEKI5koAqmtSB8ipG7k2lwGIlysmBhR2jaeHYNFsaWS0W/ly6kO0/LkKx2XB0deP6O+8n7qpr691rmnm4mN/mHKSsoAaAuJ5B9Boag6OLgZqaGhYsWEBaWhp6vZ7hw4fTqlWr07ZTuTuP4kWHQQGndr54j2iFRn/uea82q5Wty2bw+l86itRQojUneM3wLe+2GsRSZR8mW06dXlPVbCb3rbcpnjcPANdrriH43XfQyYiCEEKIS4wEVNFk/iipIGFfKuU2hbauTszvEIWfsWlODss5mswv0z+iMLN2/nPL7j3pc/eDuHjWPVb0bMzVVn5fmnJy031XLweuGxtHWHxt72tlZSXfffcdWVlZGI1GRo8eTURExGnbqvgzm5Ifj9b2vnb2x2toLBrd2YOyYrOx+5dv8PrrI2aZRpCsdsaLcsbEnuB1/y7sLtgBQPfA7rzW6zVCXGv3bbXk5XFiwhNU79oFgO/DD+P78EP1XgQmhBBCNAcSUEWTWFtQyn2JadQoKld6uDC7fRTu+vM/nel8Wc1mfv9hHn8tX4KqKji5e3DDPQ8Se+VV9W7reGIhG+YeoqK49oSytleH0GNwNMa/FzKVlpYyZ84cCgoKcHZ2ZuzYsQQHB5+2rfJNmZT+XLvi3qVHEJ4Do9FozxxOVUVhz7p5ePzxLl2UNF61jGO90hmDRmFIHxPTc36mpqAGJ70TT3V96mSvKUDVrl1kPv44tvwCtG5uBL/zNm7XXVfv9xdCCCGaCwmootEtyS3msYPHsapwg487M+IjcNY1fk/eicMHWf35xxRnZQIQ1+sarrvzfpzdPerVTk2lha0/HOHQttoDJdx9Hbk+oTUhrf7pfS0qKmL27NmUlJTg7u5OQkICfn5+ddpSVZXy9emUravtyXW7JhT3fhFnnGKgKgr7Ny7BaetbdLLW7jTwueUWvrX1A6Bl6z/5/sQyoG6vqaqqFM+bR+6Ut8BqxaFlDKGffILxDD26QgghxKVCAqpoVF9n5vPCkROowNAALz6KC8Nwlp7DhrCYatiyYA67Vi0HVcXFy5sb7nmImG5X1rut1D35bJx3mKoyM2igw3Ut6H5bFIb/t8K+oKCAWbNmUV5ejre3N+PGjcPT07NOW6qqUvrzMSo2104PcO8bjtt1Lc4YThO3/oR2w+u0t9TuAVylOvC112N8kFu75ZpL4Doy1HU46Z14ssuTDG81HK2mNugrNTXkvPIqpctqw6tb/34Ev/46WheXen8NhBBCiOZGAqpoFKqq8uHxXN45VtsLeU+IL/9pGYK2nouTziUjaT9rPp9KSW42APHX3MC14+7F0dW1Xu1Ul5vZvDCZI3/lAeAZ4Mz141oTFH1q72tubi6zZ8+msrISPz8/xo0bh5tb3b1bVUWlZNlRKv+sfX+PW6JwuyrktM8+tH0t1vWv09a0B4Aa1cCewGHYrnqST78/gqKqGDy3o/FcxxWBV/Baz9cIdQs9eb858wSZjz2KKekgaLX4P/UU3nfdWe+FYEIIIURzJQFVXDBFVXnl6Am+zKw9+vPJiACeighs1MBkrq5i07xZ7F3zEwCuPr70ve8RIjt1rVc7qqpydGcemxYkU1NhQaPV0OnGMLrdEoH+f7Z+ysrKYs6cOVRXVxMQEMC4ceNwOU0PpWpTKf4hmardeaABr8Etcbmi7vGpR/ZspuqX1+hQU7vQyazq2O03iKghLxPq5Ef/qb9SY9GiczmCZ+hqnuz6Are3uv1krylAxdatZE18EltpKTovL0I+/ACXK+vfcyyEEEI0ZxJQxQWxKipPHE5nUU4xAK+3DOHe0LpzMy9E2r7drJ3xCWX5tb2d7fv04+qxd+HgXL/h7MpSE5vmJ5O6Jx8AnxAXrh/XGv/wutswZWRkMHfuXEwmEyEhIYwdOxYnJ6c616lWhaL5h6hOLAQteN/eCueOp55SdSzxT0p+nkynyi0AWFUtu7xvpsWgl+ke3orDBWkM+fRHKqs90Rpz6dU5iTev/uGUXlNVVSn88ivyP/oIFAXHtm0JnfoxhjMs0hJCCCEuZRJQRYNV2xTGJ6WxuqAMnQY+igtjeKB3o7Vvqqpk45yZ7P91DQDufgH0feBRwtt1rFc7qqpy+M8ctnx/BFOVFa1WQ5ebI+jSLxzdafYkTUtLY968eZjNZsLCwhg9ejSOjnUPFlDMNgrnHsSUXAw6DT6jW+MU/89hAOnJe8hf8Rqdyn4jUqOiqBp2et5I0MBXuCKmLYqqMDdpPpOX5GKubIlWX8FTA50Z3/XzU3pNbRWVZD/3HOVr1wLgMWwogS+9hNbBoV5fByGEEOJSIQFVNEi51ca4/alsK6nEQavhy/gI+vrWb/X82aTu3sHaGZ9SUVQIQKd+A7lq1DiMjnV7Mc9aZ1ENG747THpibTt+YW5cP641vqGnn7N69OhRFixYgNVqJTIyklGjRmE01j1YQDFZKfg2CfOxUjQGLT7j2uDYsnbV/4nUg2Qte5XOJasJ06iggZ2u1+J7yyt0i+sMQGZ5Ji9tfZkte4KxVPRAq7UyfWxHboo7dcN/U2oqmY88ijk1FQwGAl98Ea8Rt9frayCEEEJcaiSginorMFsZvTeFfRXVuOm0zGoXRU+v+i1SOpPqinI2zPqSpE2/AuAZGMRN4x8ntHXberWjqipJW7LYuvgolhobOr2WbrdE0OnGMLRn2PLq8OHDfP/999hsNlq2bMntt9+OwVD3YAGlykL+N4lYMsrROOjwvSsehwgPcjNTSFv6Gp0LVhKisYEGdjv3xL3/K3RpVztPVFEVFh5eyIc7P6Q0twuWkh5oUPlsdDduijt1uL583Tqynp2EUlmJPiCA0I8/wqljx3p9HYQQQohLkQTUBig0W/kgLcfeZdjNb0XlpFab8DHomd8hivZuzo3S7pEd21j/1TQqS4pBo6HLzbfRa8RYDA51h9fPpjS/mt/mHuLE4dp5sYFR7lyX0BrvoDPPWU1MTGTx4sUoikLr1q0ZOnQoen3dPx62cjMFMw9gyalE66zH9+62lOmL2f3Zk3TK+5HuGgtoYJ9jVxz7vkSnzteevDezPJNXfn+F7TnbsZS3wZQ3AIDnb25D/7b/hFPVZiN/6icUfvEFAM5duxLy0YfofX3r9XUQQgghLlUSUBug3GZj5okCe5dhVyEOBr7vGE20c/3C4+lUlZXy69efc3jbZgC8g0O56cEJBMfG1asdVVHZvzGTbUtTsJoV9AYtVw6Kpt11oWjPshfr3r17+fHHH1FVlXbt2jFo0CB0urqnXllLTRR8uR9rQTVaNwMOQwLZ+dMkOmZ9z5Wa2n1UE43t0PZ5ifbdbzp5n6IqfH/4ez7Y+QHV1mr05ihqshMADWO6h3Fv78iT19pKSjjx1NNUbqldUOV9xzj8n3oKzWl6coUQQojLlQTUBvDQ63giPMDeZdiNs07L7YHeBDhcWGhSVZXD2zbz69efU11ehkarpdutQ+kxdBT608z7PJuS3Cp+nX2Q7JRSAEJiPbkuIQ4Pv7P37u7cuZMVK1YA0KlTJwYOHIj2NOfXWwqqKfhqP7YSExo3PVleP9F6wQx6aGpAA4f1cViueZ74XgPR/L/7/3+vKUC8R2+S99+GxWblmlg/Xrs1/uR2XDUHD5L56GNYMjPRODoS9J//4DHwlnp9HYQQQojLgQTUBvAy6Hk2KsjeZVzSKkuKWffVNI7u2AaAb1gE/R6cQEBUTL3aUWwKe9ZnsH3FMWwWBYODjp5DY4i/KhjNOU6w+uOPP/jll18A6NatG/379z9tODVnVVDw9QGUCgsWQyVe5mfomnccNHBUF01lr2dof+3tpwRTRVVYdHgR7+98n2prNU56Jx5o+zgLfw2lqLKCuEA3Ph3dCf3f82FLly8n++VXUGtqMLRoQeinn+DYqlWdWoQQQoh/Awmo4qJSVZWDm3/jt29nUFNZgVano/vg2+k++HZ0+vr1yBaeqODX2QfJO14OQFgbb64dG4eb97mnHWzZsoV169YB0LNnT2688cbTHixQcSSfollJaK1adJpjBGlfQqcpIU0bRnH3p+h4Y8IpwRTgRMUJXtn6Cn/m/AlAl4AuvNJ9Mi8vySY5twB/Nwe+vrMbbo4GVIuF3HfepXjOHABcru5NyLvvovNovB0RhBBCiEuNBFRx0ZQXFrDuq89I3VV7kpJ/RDQ3Pfg4/hFR9WrHZlPY9ctx/vo5DcWmYnTSc9XwlsT1OPfpVaqqsmHDBjZu3AjANddcw7XXXnvKfYrNxsE/V2PZshnfoj5occCoScTXOJkMnRf5nV+gU7+7ififRVSqqrIoeRHv//U+VdYqHHWOTOgygZGtRvLij4lsPlKAk0HHzDu6EezphDU/n8wnnqD6r50A+D70IL4PP4zmNPNfhRBCiH8TCaiiyamqyoHf1rJh9leYq6vQ6fX0GDaargOHoDvNSvmzyU8vZ/3sgxRmVgAQ0d6Xa0e3wsXz3JvWq6rKunXr2Lp1KwB9+vShd+/etb+nKKTs30bBtu+IyllFpC2eIsuTgB6tdg/HgpMo6Tmflh17E36aaQBZFVm8/PvL/Jld22va2b8z/+n1H8Lcw/hiYwrzt2eg0cDUUZ1oF+pB1e7dnHh8Ata8PLSurgS/8zZu119fr6+FEEIIcbmSgCqaVFl+HmtmfMLxfbsBCIyJ5abxj+PbIrxe7dgsCjt+OsauNemoioqji4HeI1vSsmvAOXtNARRF4ZdffmH79trFSv369ePKK68k8+gBMjbPIThjJTFKJjFAhbUfRdaHAC3mIBNhDzxAsOPpF22dqdd0VNwotBotP+/PZsqqQwC8NKANN7T2p3jBAnLeeBMsFowx0YRO/QSHqMjTti+EEEL8G0lAFU1CVRT2rvuFTd99g6WmGr3BSM8RY+ky4Da02voNYeccK+XXWQcpzqkCIKaLP71HxOLsfn4r/RVFYeXKlezatQuAa3v3hNR1JK97lFhrMv898b5GNZCmm4Cr9RoAXLoHEnJbzBkXW52t1xRgd3oxTyzcA8AdPcK5o2sQ2S+8SOmSJQC43XQTQW+8gc71zPuzCiGEEP9GElBFoyvJyWbNF1PJSNoPQEhcG/o+8DjewSH1asditrF9eSp712egquDkbuSaUbFEd/I/7zZsNhs//vgj+/fX1tJVf5Demz5Cp1Frf1/VkOjUBVOrIYRrrsP1j9ojUd2ubYH7TeGn7Z09Xa/p450fZ3Tr0Wg1tcP/GUVV3Df7L0xWhevj/JnUxYv0MWOpSUwErRb/Jyfifffd59X7K4QQQvzbSEAVjUZRbOxetZItC2ZjNZvQOzjQe9SddLppQJ2V7ueSdaSYX2cfojS/GoBWVwZy1fCWOLqc/0r/yvJS5n7zBdlFVWhVG0M0v9DWmgwaOKRvTWnMbURfO5Z2/qGULD1K5Y7a08E8+kfidk3oadvMqsjild9f4Y/sP4DaXtPJvSYT7v7PlIXSagt3fbuDggozbYLceSvaQsbw4diKi9F5ehLywfu49OxZr6+HEEII8W8iAVU0iqKsTFZP/5is5IMAtIhvT98HHsMzILBe7ZhrrPyxNIX9G08A4OLpwLVjWhHR7vyO+bRazBzc9hOVO78nucSBbE0EOqwM1/yEo9bCH2EP0+LqBOKiWgOgWhWK5h+ien8BaMBrcEtcrqhbs8VmYVHyIqbunkqlpRJHnSOPdX6M0XGj0f2/KQtmq8KDc3dyNK+CQHdH3nc8SuED74Gi4NimDaGfTMUQUr+eZCGEEOLfRgKquCCKzcZfK5fy+6LvsFksGJ2cuHrM3bTvc1O9e00zkor4be4hyotqAGhzVTA9h8bg4HT2H1NVUUjetYHiP+cRk7+WVlSwgFtJ1YSjw0pH7yqM139OeJtuRPz/zfTNNgrnJGE6UgI6Dd4jW+Hczu+Utm2KjZ+P/cxnez7jREVtaO7k34n/9PrPKb2mUDv0/+KP+/k9pRBng5Yp+Rtg9g8AeAweTOArL6N1vPCjYYUQQojLnQRU0WAF6Wms/vxjclKOABDRoTM33v8I7r7nP0cUwFRlYevioxzcmg2Am48j142No0Vr77Ped/zgTrK2zCEs62daqbm1bWHgW4aRRRB6nZbRo+8iKjq6zr1KlYWCbxMxp5ejMWjxGdcGx5ZeJ39fVVV+zfiVT3d/ytGSowD4Ovkyvv14hsUOO6XX9L+mbUjh+78y0WrghSMrCNzzGxgMBD7/HJ4jR8p8UyGEEOI8SUAV9WazWtmx7Ae2LV6AYrPi4OzCtePuJf7aG+odwtL2FbDhu0NUlpoBaHddKFfeFoXR8fQ/mjnpR0jbMBu/4yuIth3jv32YVaoDe9yvYQddKS6vxsHBgbFjx9KiRYu69ZeZKfh6P5acKjSOenzvisch3P3k7/+Z/SdTd01lX8E+ANyN7tzd9m5Gtx6Nk97ptHWt2JvFu6sPA/DgwZ/ofOg39H5+hHz8Mc6dO9XrayKEEEL820lAbYDKkmI2zv3a3mXYTX5aKgUZxwGI6tyNG+57GDfv85sj+l81FRY2f59M8vbank8PfyeuT2hNcEvPOtcW52eT/Ntc3I78SBvLAf47Q9Si6kh0uQJr/FAiut3CviXLKM7JwcnJiYSEBIKDg+u0ZS2qIX/mfmyFNWjdDPjd0w5DYO02T/vz9zN199STC6Cc9E6MbT2WO9veibvRvU5b/7XzeBFPLtoLwKCjm7jl0G84de1C6IcfovfzO+N9QgghhDg9CagNYKmp4eDm3+xdhl05urpx/Z33E3fVtfXuNT26M49NCw5TXW5Bo4GON4RxxcBI9MZ/hs0ry0s4uGEhhqTFtKn6i+4a28nfSzS2o6LlYFpdN4aOvoGUl5cze/Zs8vPzcXFxISEhgcDA0yx0yq0k/6sDKOVmdN6O+N3TFr2PEyklKXyy+xPWp68HQK/Vc3vs7dzX/j58nc4evI8XVnLftzswWxWuzD7AvQdW4JWQQMAzT6MxnP+OA0IIIYT4hwTUBnB0c+OahHvsXYbd6A1GWnbviYun17kv/n+qysxsWnCYlF35AHgHu3B9QmsCImt7J82mGpK2/Ih1z/e0KdtCV42p9kYNHNVFUxA5kIhrEohvEXOyzdLSUmbNmkVRURFubm6MGzcOv9P0WprSyyj8NhGlyoo+wBm/e9qSoy1g2pZprExdiaIqaDVaBkYN5MGODxLieu6V9iVVZu6csZWiaisxJZlMOrCYFu+8hcett9br6yKEEEKIU0lAbQBHF1e63jLY3mVcMlRVJXl7Lpu/T8ZUaUWj1dClXzhd+0eg0aokbVtF+V/zaVW4no5U1N6kgUxNIJkhAwi6aiwxcZ2J+Z92i4uLmTVrFiUlJXh4eHDHHXfg7V13YVXN0WIKZyehmhUMLdzQjgzk7YPvsyh5EVbFCsANYTfwSKdHiPasu6DqdMxWhXs/WsOxMg1+VcW8nvYzcXNn4di69YV8qYQQQgiBBFTRxCqKTWycd4i0/bUnNPm2cOW6sa0oL01kx8z3iMz5hTYUnry+AE+O+vfF+8oxtOx4NaFn2KqqoKCAWbNmUV5ejre3N+PGjcPT07POddUHCiicfwhsKrooVxZ12MzsX+ZQba09AKBHUA8e6/wYbX3bnvc7KWYzE/6zkL8s3jhZanjHtJtuC2ahO83zhRBCCFF/ElBFk1BVlYO/Z7N10RHMNTa0eg2tejjjWLOE6lkriVYy+G9fZbnqxEGv63DqPJI2PQdwpf7sP5a5ubnMnj2byspK/Pz8GDduHG5ubnWuq/wrl+LFyaBCTotyJro8T/GhEgDa+7bn8c6Pc0XQFfV6L2tBAW++/BU/u7dDq9h4y7+Qa995B42u7rZTQgghhGgYCaii0ZUVVPPb3ENkHioGwNmtnPbOX9LlyOaT15hUA4luPaDd7bS5eghXOLmcV9tZWVnMmTOH6upqAgICGDduHC4ude8t33KC0pWpAGz03sk7Lt+gWBViPGN4rNNjXNui/ou7qvfuZdbkz/m65S0APN/ayG133V+vNoQQQghxbhJQRaNRFZUDm07w+5KjWM0KWo2F7i7f0dF5BVqNgk3VkOTYieq4IcRdN5rOnj71aj8jI4O5c+diMpkIDg5m7NixODs7n1qDqlK6Jo2K3zIBWOy9jq/8lxDiFsLDHR/m5sibT7vJ/rmULlvG2g++5r0r7gbg7vbe3Du6R73bEUIIIcS5SUAVjSI3vZA1X/xJWWHtUZ5BhkSu9/gMT302h/VxFEffRsx1Y2kXGNag9tPS0pg3bx5ms5mwsDBGjx6N4/8cG6rYFBLnb8LrQG0AneW3nPWhO3mxw4sMaTkEg67+2z6pNhv5H35I2qx5vNHnaaw6PX1b+fLiyPpNDRBCCCHE+ZOAKhrMZrWSuOUn0tYnkpXfGRuO6DXV9HCdg7trIgfDBxF2dQKtouIv6DkpKSnMnz8fq9VKZGQko0aNwmg0nnLNH5nbyF+YRKf8WBQUvglZTovr4vkpbvIZT3865/tVVJD15FNUbNzI1x2HUezoTpSvCx+P6YpWK8eWCiGEEE1FAqqol8ryEjIO/UXJjoX4ZR0guXQcuZYrAfAzJuEfcxyX6yYQHn8FEWdYgV8fhw8f5vvvv8dms9GyZUtuv/12DP9vA/z9+fv57K9PuXFnB7pXtMOKjV1XZvDEza+c9fSnczFnZJDx4IOYj6awLyiOXyJq3/Gtoe1xMsqCKCGEEKIpSUAVJ9msVgpzMyjKSqEyLw1LUTqa0kyMVdm4m3LwteXiQSUtVR27KwexpuJVFAzotGZirtRy3ejx6M6xAr8+EhMTWbx4MYqiEBcXx7Bhw9D/3f7R4qN8svsT/kj7nVczH6RdVUusWhtOI8IZ0uHaC3pu5R9/cuLxx7GVlmILDGbaDeOh3Mro7mFcEVl3n1UhhBBCNC4JqA1QVWbm98VH7V1GvVktZmqqyrFUV2AzVaKaK9FYq9BbqzGqNTioJnQo/3NXCBBCIXDs709yrdGUWGvnkrZo48n1CW1w9XKkMe3du5cff/wRVVVp27YtgwcPRqfTkVmeybQ9tac/uVtdeDtjAjE1YeCgJejO9jhEelzQc4sXLCDn9TfAasWxXTu+HzWJ49uz8XdzYFL/uEZ6OyGEEEKcjQTUBrCYrBz+M8feZVwAh79/Nbw30MFZT+8RscReEVDv7ZrOZefOnaxYsQKAjh07cuutt1JYU8iMfTP44cgPWBUrfhYvPsqehHeNG1oXA753t8UY4trgZ6oWC7lTplA8bz4A7gMGUPLos3w5YwcAk29ri7tj/RdZCSGEEKL+JKA2gKOLgZ5D//fgzaZlNlVTWVpITXkRlopi1JoStKZSjJYynGwVuKiV6DT/2/tZlwkjlRpXavRuWI3uqA6e6Jw9Mbp64ezhi4ubF5pzzB3VG7REd/bH2d141usa4s8//2TVqlUAdOvWjV59ejF191S+O/gdNbYaAAZ69GN84iC0lQo6Dwd8722Lwc/5bM2ela2khMwJT1D1xx8A+D3xBJ733stD03/HqqjcFB9Av7aBF/5yQgghhDgvElAbwMHZQKcbG7Zd0ukoNhuFuRkU/v+5nyUZJ+d++tjy8PzvGfX/n+7vX3+zqlryNT4UGwKocgrE4hqC1rMFjr7huAdG4hsSjZtH851DuWXLFtatWwdAt+7dOBF8gpuX3Ey5pRyA9n7teSr0MQKWqSiVFvR+Tvje0w69p0ODn2lKSSHjoYewHE9H4+xMyLvv4NanDzO3HGNvZiluDnom33b+x6AKIYQQ4sJJQL0IqipKyc9MoTTnGDUFx7GVZKAvP4FzdRZeljx8lQL8NDb8ztFOGS4UaP0ocwjE5BKM4h6KwbsFrn4ReAZH4RcUQZBeT9BFeavGo6oqGzZsYOPGjQB4t/Hm3dJ3KcwrBDh5+lMPaycKZyWhmGwYQlzxvSsenWvDe3ErNm3ixMQnUSoqMISEEDptGo6tYskoquL9NYcBmHRzHAHujTu/VgghhBBnJwH1Ap2297M0E2Nl1im9n+Fna0Rzfr2f7h7eNHzjpOZJVVXWrVvH1q1bAUgPSGdx9WIAQl1DebjTw/SP6I85uZSCuYlgVTBGeuB7Rxu0jg378VVVlaJvviXvvfdAUXDq2oXQqVPRe3ujqiov/niAKrONKyK8GdWt8XrKhRBCCHF+JKA2QMaRvZQtegRPSy5+59376Uyh1p/SM/R++gaGEWQwXnK9nxdCURRWrVrFjh21C5H2eu/lqPNR/Jz8GN9hPINjBmPQGajak0fR98mgqDi29sZndBwaQ8P2IlXMZnJeeZXSpUsB8Bw+jMCXXkLz98b/y/dmsTE5H6NOy5tD2smG/EIIIYQdSEBtAIODM/HmfbX/8nfvZ4HGh2KDP5VOQXV6P32Co3D39Lnsej8vhKIozPx+JicOnQBgl88uCn0LeaLdE4yKG3Xy9KeKbVmULE8BFZw7+eM1rCUaXcMOALAWFJD56GNU794NWi0BkybhlTD25C4ERZVmXluRBMAj18cQ49/wXQGEEEII0XASUBvANyicv7q+e0rvZ6DBiKzzPj97cvfw3aLvcClwQUVlX8A+brzyRu6Iv+Pk6U+qqlL+awZla48D4NIjCM+B0Wga2KNZk5RExsOPYM3ORuvmRsiHH+J6Va9Trnn9pySKKs3EBrgy/proC3tJIYQQQjSYBNQG0BuMdL3lfnuXcck5UnyET3Z+QtWuKkKrQlFQcOjkwJd9v8TXyffkdaqqUvrTMSq21PauuvUJw/2GsAbvt1q2eg1ZkyahVldjjIggdNo0HKIiT7lm85F8luw6gUZTe5ypUX/hx7QKIYQQomEkoIoml1GewbQ901h1dBXd87oTWh2KqlHpd1s/enbsecq1qk2leMkRqnbmAuBxSxRuV4U06LmqqlIwbRoFn3wKgEuvXoR88D46j1NPm6oyW3l+6X4A7ugRQecwrwY9TwghhBCNQwKqaDL5Vfl8se8LFh9ZjGpV6ZHbg4CaAHQ6HSNHjqRly5anXK9aFAoXHKImsRA04DU0FpeuAQ16tlJdTdbzz1O+6hcAvO8Yh//TT6PR1/2R/2jdETKKqgn2cOSpm1o16HlCCCGEaDwSUEWjKzWV8vWBr5l3cB41thr0ip7+xf1xqHHAYDAwevRoIiNPHWJXTFYK5xzEdLQEdBp8RsfhFO97+gecgyUnh8yHHqYmKQkMBoJeeRnPYcNOe+3+zFK+2pwKwH8GtcXVQf5ICCGEEPYm/zcWjabKUsXcg3P59sC3J09/6ujVkS6ZXSgpK8HBwYExY8YQFnbq3qK2SgsF3yZiyShHY9ThM64NjjGeDaqhes8eMh59FFt+ATovL0I/mYpz166nvdZqU5i0ZB+KCre0D6JP64b11gohhBCicUlAFRfMbDOzKHkRM/bNoKimCICWXi0Z33o8qetTycnLwcnJiYSEBIKDg0+511ZmIn/mAay5VWid9fje1RZjC7cG1VG6bBnZL72MajbjEBtL6LRpGEPPPH915pZjJGaV4eFk4JWB8Q16phBCCCEanwRU0WA2xcaK1BVM3zOdrMos4J/Tn672u5o5s+eQn5+Pi4sLCQkJBAaeuhGXtbCa/K/2Yys2oXU34ndPWwwBLvWuQ7XZyP/wQwq/mgmAa58+BL/9NjrXM7d1vLCSD9YmA/DCgNb4uTnU+7lCCCGEaBoSUEW9qarK+vT1fLL7E1JLa+dvnjz9qeVgqsqr+PabbykqKsLNzY1x48bh53fqWVvm7EoKvt6PUm5B5+OI3z3t0HvX/8x7W0UFWU8+RcXGjQD4PPAAfo8/hkZ75m2iVFXl+aX7MVkVekb7MLxLaL2fK4QQQoimIwG1AQqqC3jzzzftXYbdZJRncKjoEADuRnfubXcvI+NG4qR3ori4mFmzZlFSUoKHhwd33HEH3t7ep9xvOl5GwTeJqDVWDIEu+N7TFp2bsd51mDMyyHjwQcxHU9A4OBD0+ut4DLzlnPf9sDOTrUcLcdBreXNwuwbvryqEEEKIpiEBtQGqLdWsPb7W3mXYlZPeiYQ2CdwZfyduxto5owUFBcyaNYvy8nK8vLy444478PT0POW+muRiCuckoVoUjOHu+N7RBq2zod7Pr/xzOyceewxbaSl6Pz9Cp32GU7t257wvv9zE6z8dBGDCDbFE+NZ/SoEQQgghmpYE1AbwdPTkhe4v2LsMuzHqjFwTeg0+Tj4nP8vNzWX27NlUVlbi6+vLuHHjcHd3P+W+qv35FC04DDYVh1gvfMa2RmvU1fv5xQsWkvP662C14tiuHaGffoohwP+87p28MonSagttgty5t3fkuW8QQgghxEUnAbUB3IxujIwbae8ymo3s7Gxmz55NdXU1AQEBJCQk4Orqeso1ldtzKF56BFRwau+L9+2t0NTzOFHVYiF3ylsUz5sHgPuAAQS98Tpax/Obu/rboTxW7M1Cq4G3h7bHoJPjTIUQQojmSAKquCAZGRnMnTsXk8lEcHAwY8eOxdnZ+ZRryjdmUrrqGAAuVwTiOSgGjbZ+8z5tJSVkPvEEVdv+AMBvwgR8Hrj/vOePVpisvPD3caZ394qkXajHOe4QQgghhL1IQBUNlpaWxrx58zCbzbRo0YIxY8bg+P96M1VVpWx1GuUbMgFwuyYU934R9V6UZEpJIeOhh7AcT0fj7EzIO2/jdsMN9WrjvdWHySqtIdTLiYl9Y+t1rxBCCCEuLgmookFSUlKYP38+VquVyMhIRo4ciYPDP3uJqopKybKjVP6ZA4B7vwjcr21R7+dUbNrEiYlPolRUYAgOJnT6NBxbtapXG7vTi5m1LQ2ANwe3w9koP/ZCCCFEcyb/pxb1dvjwYb7//ntsNhsxMTGMGDECg+GflfiqVaHo+8NU7ysADXgOjsH1iqB6PUNVVYq++Za8994DRcGpaxdCp05F/z9bVp2L2aowafF+VBWGdArh6li/c98khBBCCLuSgNoAxcXFfP311/Yuw24qKipQVZW4uDiGDRuGXv/Pj5FitlH03UFqDheDToP3iFY4t69fKFTMZnJeeZXSpUsB8Bw+jMCXXkJjrP9eqTM2pXA4txxvFyMv3tKm3vcLIYQQ4uKTgNoAqqpSXl5u7zLsql27dgwaNAid7p9topRqKwXfJmI+XobGoMUnoQ2OsV71atdaUEDmo49RvXs3aLUETJqEV8LYBm2mn5JfwdT1RwF4+ZY2eLvUP+AKIYQQ4uKTgNoA7u7uPPDAA/Yuw26MRiM+Pj6nfGYrN1Pw9QEs2ZVoHPX43hWPQ7j7GVo4vZqDB8l46GGs2dlo3dwI+fBDXK/q1aAaFUXluSX7MdsUro7147aOwQ1qRwghhBAXnwTUBtDr9QQF1W9O5eXMWlRDwcz9WAtr0Loa8L2nHcag+p3QVLZmDVnPTkKtrsYYHk7o9Ok4RDV8I/2Ff2Ww/VgRTgYdbwxqK8eZCiGEEJcQCajiglhyKymYeQBbmRmdlwN+97RD7+t03verqkrB9OkUTP0EAJeePQn58AN0Hg3fpzSvrIY3f649zvTJvrG08HY+xx1CCCGEaE4koIoGM2eUU/DNAZQqK3p/Z/zuaYvOw+HcN/5Nqa4m6/nnKV/1CwBe4xIIeOYZNPoL+7F8ZXki5TVW2od6cFcvOc5UCCGEuNRIQBUNUpNSQuGsJFSzDUMLN3zvjEfnYjj3jX+z5OSQ+dDD1CQlgcFA4Msv4TV8+AXXtToxh1UHctBpNbw1pD26ep5YJYQQQgj7k4Aq6q06sZDC+QfBquIQ7YHPuDZoHc7/R6l6zx4yHn0UW34BOi8vQqd+jHO3bhdcV1mNhZeXHQDg/qujaBNcv0VaQgghhGgeJKA2gLWohtypu+1dht2oJiuo4NjGB59RcWgM2vO+t3TZMrJfehnVbMYhNpbQadMwhoY0Sl1vrzpEbpmJCB9nHu/TslHaFEIIIcTFJwG1IVQVtcZq7yrsyrlrAF6DW6LRnd8Qumqzkf/hhxR+NRMA1+uvJ/idd9C51m+1/5nsSCviuz/TAXhzSDscDbpz3CGEEEKI5qpBAXXatGm8++67ZGdnEx8fz0cffUTv3r3PeP3GjRuZOHEiiYmJBAcH88wzzzB+/PhTrlm8eDEvvfQSKSkpREdH88YbbzB48OCGlNfkdB4OBDzZxd5l2I3GoEPvef6LoWwVFWQ99TQVGzYA4HP//fhNeByN9vx7Xs/GZLUxafE+AEZ0bUHPaN9GaVcIIYQQ9lHvgLpw4UImTJjAtGnT6NWrF1988QX9+/cnKSmJsLCwOtcfO3aMm2++mfvuu4+5c+eydetWHnroIfz8/Bg6dCgA27ZtY8SIEfznP/9h8ODBLF26lNtvv50tW7bQvXv3C3/LRqbRazH4ydZF58OckUHmQw9hOnIUjdFI0Btv4DHwlkZ9xme/pZCSX4mvqwPP39y6UdsWQgghxMWnUVVVrc8N3bt3p3PnzkyfPv3kZ61bt2bQoEFMmTKlzvXPPvssy5cv5+DBgyc/Gz9+PHv37mXbtm0AjBgxgrKyMlatWnXymn79+uHl5cX8+fPPq66ysjI8PDwoLS3F3V0WxzQHlX9u58Tjj2MrKUHv50foZ5/i1L59oz4jObecAVM3Y7GpfDq6E7e0lxOjhBBCiObqfPNavcZYzWYzO3fupG/fvqd83rdvX37//ffT3rNt27Y6199000389ddfWCyWs15zpjZF81e8YCHp99yDraQEx7ZtifhhUaOHU0VRmbR4Hxabyg2t/RnQTk73EkIIIS4H9RriLygowGazERAQcMrnAQEB5OTknPaenJyc015vtVopKCggKCjojNecqU0Ak8mEyWQ6+e9lZWX1eRXRRFSLhdwpb1E8bx4A7jffTNCbb6B1dGz0Z8398zi70ktwMeqYfJscZyqEEEJcLhq0SuV/g4CqqmcNB6e7/n8/r2+bU6ZMwcPD4+SvFi1anHf9omnYSkpIv//+k+HUb8IEgt9/r0nCaVZJNW+vOgTAs/3jCPY8/+NVhRBCCNG81Sug+vr6otPp6vRs5uXl1ekB/a/AwMDTXq/X6/Hx8TnrNWdqE+C5556jtLT05K+MjIz6vIpoZKaUFI6NGEHVtj/QODsT8slUfMc/0CS9mqqq8tKPB6g02+gc5snY7uGN/gwhhBBC2E+9AqrRaKRLly6sXbv2lM/Xrl1Lz549T3tPjx496ly/Zs0aunbtisFgOOs1Z2oTwMHBAXd391N+Cfuo2LSJtBEjsRxPxxAcTMT8ebjfeGOTPe+n/dmsP5SHQafhraHt0cpxpkIIIcRlpd7bTE2cOJGEhAS6du1Kjx49mDFjBunp6Sf3NX3uuec4ceIEs2fPBmpX7H/66adMnDiR++67j23btjFz5sxTVuc//vjjXH311bz99tvcdtttLFu2jHXr1rFly5ZGek3RFFRVpejbWeS9+y4oCk5duhA69WP0f/eMN4XSKguvLk8C4MFrY4gNcGuyZwkhhBDCPuodUEeMGEFhYSGTJ08mOzubtm3b8vPPPxMeXjvMmp2dTXp6+snrIyMj+fnnn3niiSf47LPPCA4OZurUqSf3QAXo2bMnCxYs4MUXX+Sll14iOjqahQsXNss9UEUtxWwm55VXKV26FACPYUMJevllNEZjkz73zZ8PUlBhItrPhYevi27SZwkhhBDCPuq9D2pzJfugXjzWggIyH32M6t27QaslYNKzeCUkNPkq+t9TChj95Z8ALBrfg24R3k36PCGEEEI0rvPNaw066vTfzpqfT87kyfYuw26q9+3HmpuL1s2NkA8+wLX3VU3+zBqLjeeX7AdgTPcwCadCCCHEZUwCagMo1dWUr11n7zLsyhgeTuj06ThERV6U5328/ghphVUEuDvwbP+4i/JMIYQQQtiHBNQG0Hl5EfjqK/Yuw240jo649emDzu3iLFBKyipjxqZUACbf1hZ3R8NFea4QQggh7EMCagPo3NzwGjnS3mX8K9gUlUlL9mFTVPq3DeSm+EB7lySEEEKIJtagk6SEuFi+2XqMfZmluDnqee3WeHuXI4QQQoiLQAKqaLYyiqp4f00yAM/1b42/e+MfmSqEEEKI5kcCqmiWVFXlhR8PUG2xcUWkNyO7tbB3SUIIIYS4SCSgimZp2Z4sNiXnY9RrmTKknRxnKoQQQvyLSEAVzU5RpZnJK2uPM33s+hii/VztXJEQQgghLiYJqKLZeX1lEkWVZloFuHH/1XKcqRBCCPFvIwFVNCsbk/NZsvsEGg28NbQdRr38iAohhBD/NvJ/f9FsVJmtvLC09jjTO3pE0CnMy84VCSGEEMIeJKCKZuPDtclkFlcT7OHIUze1snc5QgghhLATCaiiWdiXWcLMLccAeH1wW1wd5JAzIYQQ4t9KAqqwO4tNYdLi/SgqDOwQzPVxAfYuSQghhBB2JAFV2N1Xm4+RlF2Gp7OBVwa2sXc5QgghhLAzCajCrtIKKvloXe1xpi/c3BpfVwc7VySEEEIIe5OAKuxGVVWeX7ofk1WhV4wPw7qE2rskIYQQQjQDElCF3SzamcnvKYU4GrS8ObgdGo0cZyqEEEIICajCTvLLTbzx00EAJtwQS7iPi50rEkIIIURzIQFV2MVrKxIprbYQH+zOvVdF2rscIYQQQjQjElDFRbf+YC4r92Wj1cBbQ9qj18mPoRBCCCH+IclAXFQVJisv/ngAgHt7R9Eu1MPOFQkhhBCiuZGAKi6q91YfJru0hhbeTjxxQ6y9yxFCCCFEMyQBVVw0O48XM2tbGgBvDm6Hk1Fn34KEEEII0SxJQBUXhdmq8NySfagqDOkcQu+WfvYuSQghhBDNlARUcVF8sTGF5NwKvF2MvDhAjjMVQgghxJlJQBVN7mheBZ/8ehSAVwa2wdvFaOeKhBBCCNGcSUAVTUpRVJ5fsh+zTeGaWD9u7RBs75KEEEII0cxJQBVNav6OdLanFeFs1PHG4LZynKkQQgghzkkCqmgyuWU1vPXzIQCe7NuKUC9nO1ckhBBCiEuBBFTRZF5edoByk5UOoR7c2TPC3uUIIYQQ4hIhAVU0iV8O5LA6MRe9VsNbQ9uj08rQvhBCCCHOjwRU0ehKqy28vKz2ONP7r46idZC7nSsSQgghxKVEAqpodG//coi8chORvi481qelvcsRQgghxCVGAqpoVNuPFTHvz3Sg9jhTR4McZyqEEEKI+pGAKhpNjcXGpCX7ABjZrQU9on3sXJEQQgghLkUSUEWjmfbbUVLzK/F1deC5/q3tXY4QQgghLlESUEWjOJxTzrQNKQBMvi0eD2eDnSsSQgghxKVKAqq4YDZFZdKSfVgVlRtaB9C/baC9SxJCCCHEJUwCqrhgc/84zu70Elwd9PxnULwcZyqEEEKICyIBVVyQrJJq3vml9jjTZ/u1IsjDyc4VCSGEEOJSJwFVNJiqqrz04wEqzTa6hHsxpnu4vUsSQgghxGVAAqposJX7sll/KA+DTsNbQ9qhleNMhRBCCNEIJKCKBimpMvPaikQAHro2hpYBbnauSAghhBCXCwmookHe+OkgBRVmYvxdeei6aHuXI4QQQojLiARUUW+/Hy1g0c5MAN4a0g4HvRxnKoQQQojGo7d3AZeiarONnceL7V2GXaiovPjjAQASrgyna4S3nSsSQgghxOVGAmoD5JXXMHbmn/Yuw64C3R15pl8re5chhBBCiMuQBNQGMOi0xAX+excFGfVaJvWPw81RjjMVQgghROOTgNoAwZ5O/DLhanuXIYQQQghxWZJFUkIIIYQQolmRgCqEEEIIIZoVCahCCCGEEKJZkYAqhBBCCCGaFQmoQgghhBCiWZGAKoQQQgghmhUJqEIIIYQQolmRgCqEEEIIIZoVCahCCCGEEKJZkYAqhBBCCCGaFQmoQgghhBCiWZGAKoQQQgghmhUJqEIIIYQQolmRgCqEEEIIIZoVvb0LaCyqqgJQVlZm50qEEEIIIcTp/Den/Te3ncllE1DLy8sBaNGihZ0rEUIIIYQQZ1NeXo6Hh8cZf1+jnivCXiIURSErKws3Nzc0Gk2TP6+srIwWLVqQkZGBu7t7kz9P2J98z/995Hv+7yTf938f+Z5fPKqqUl5eTnBwMFrtmWeaXjY9qFqtltDQ0Iv+XHd3d/lh/peR7/m/j3zP/53k+/7vI9/zi+NsPaf/JYukhBBCCCFEsyIBVQghhBBCNCsSUBvIwcGBV155BQcHB3uXIi4S+Z7/+8j3/N9Jvu//PvI9b34um0VSQgghhBDi8iA9qEIIIYQQolmRgCqEEEIIIZoVCahCCCGEEKJZkYAqhBBCCCGaFQmoDTBt2jQiIyNxdHSkS5cubN682d4liSY0ZcoUunXrhpubG/7+/gwaNIjDhw/buyxxEU2ZMgWNRsOECRPsXYpoQidOnGDs2LH4+Pjg7OxMx44d2blzp73LEk3EarXy4osvEhkZiZOTE1FRUUyePBlFUexdmkACar0tXLiQCRMm8MILL7B792569+5N//79SU9Pt3dpools3LiRhx9+mD/++IO1a9ditVrp27cvlZWV9i5NXAQ7duxgxowZtG/f3t6liCZUXFxMr169MBgMrFq1iqSkJN5//308PT3tXZpoIm+//Taff/45n376KQcPHuSdd97h3Xff5ZNPPrF3aQLZZqreunfvTufOnZk+ffrJz1q3bs2gQYOYMmWKHSsTF0t+fj7+/v5s3LiRq6++2t7liCZUUVFB586dmTZtGq+//jodO3bko48+sndZoglMmjSJrVu3yojYv8gtt9xCQEAAM2fOPPnZ0KFDcXZ2Zs6cOXasTID0oNaL2Wxm586d9O3b95TP+/bty++//26nqsTFVlpaCoC3t7edKxFN7eGHH2bAgAHccMMN9i5FNLHly5fTtWtXhg8fjr+/P506deLLL7+0d1miCV111VWsX7+e5ORkAPbu3cuWLVu4+eab7VyZANDbu4BLSUFBATabjYCAgFM+DwgIICcnx05ViYtJVVUmTpzIVVddRdu2be1djmhCCxYsYNeuXezYscPepYiLIDU1lenTpzNx4kSef/55tm/fzmOPPYaDgwPjxo2zd3miCTz77LOUlpYSFxeHTqfDZrPxxhtvMGrUKHuXJpCA2iAajeaUf1dVtc5n4vL0yCOPsG/fPrZs2WLvUkQTysjI4PHHH2fNmjU4OjrauxxxESiKQteuXXnzzTcB6NSpE4mJiUyfPl0C6mVq4cKFzJ07l3nz5hEfH8+ePXuYMGECwcHB3HHHHfYu719PAmo9+Pr6otPp6vSW5uXl1elVFZefRx99lOXLl7Np0yZCQ0PtXY5oQjt37iQvL48uXbqc/Mxms7Fp0yY+/fRTTCYTOp3OjhWKxhYUFESbNm1O+ax169YsXrzYThWJpvb0008zadIkRo4cCUC7du04fvw4U6ZMkYDaDMgc1HowGo106dKFtWvXnvL52rVr6dmzp52qEk1NVVUeeeQRlixZwq+//kpkZKS9SxJNrE+fPuzfv589e/ac/NW1a1fGjBnDnj17JJxehnr16lVn+7jk5GTCw8PtVJFoalVVVWi1p8YgnU4n20w1E9KDWk8TJ04kISGBrl270qNHD2bMmEF6ejrjx4+3d2miiTz88MPMmzePZcuW4ebmdrIH3cPDAycnJztXJ5qCm5tbnTnGLi4u+Pj4yNzjy9QTTzxBz549efPNN7n99tvZvn07M2bMYMaMGfYuTTSRgQMH8sYbbxAWFkZ8fDy7d+/mgw8+4O6777Z3aQLZZqpBpk2bxjvvvEN2djZt27blww8/lO2GLmNnml/8zTffcOedd17cYoTdXHvttbLN1GVu5cqVPPfccxw5coTIyEgmTpzIfffdZ++yRBMpLy/npZdeYunSpeTl5REcHMyoUaN4+eWXMRqN9i7vX08CqhBCCCGEaFZkDqoQQgghhGhWJKAKIYQQQohmRQKqEEIIIYRoViSgCiGEEEKIZkUCqhBCCCGEaFYkoAohhBBCiGZFAqoQQgghhGhWJKAKIYQQQohmRQKqEEIIIYRoViSgCiGEEEKIZkUCqhBCCCGEaFYkoAohhBBCiGbl/wCWgjVkgqUXegAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 800x500 with 1 Axes>"
      ]
     },
     "execution_count": 47,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "377e248fa76942e59e5ca7c4be322f80",
       "version_major": 2,
       "version_minor": 0
      },
      "image/png": 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",
      "text/html": [
       "\n",
       "            <div style=\"display: inline-block;\">\n",
       "                <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
       "                    Figure\n",
       "                </div>\n",
       "                <img src='' width=800.0/>\n",
       "            </div>\n",
       "        "
      ],
      "text/plain": [
       "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from quantlib.compounding import Continuous\n",
    "fig, ax = plt.subplots(figsize=(8, 5))\n",
    "ax.plot(range(10),\n",
    "         [crvMat[0,0].forward_rate(t, t, compounding=Continuous, frequency=NoFrequency).rate\n",
    "          for t in np.arange(10.)])\n",
    "for i in range(min(Nsim, 10)):\n",
    "    ax.plot(range(10), [crvMat[i,1].forward_rate(t, t,\n",
    "                                                  compounding=Continuous, frequency=NoFrequency).rate\n",
    "                         for t in np.arange(10.)])\n",
    "ax.set_title('generated yield curves')\n",
    "fig"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "from quantlib.indexes.api import Euribor6M\n",
    "from quantlib.instruments.api import VanillaSwap, Receiver\n",
    "from quantlib.pricingengines.swap import DiscountingSwapEngine\n",
    "from quantlib.termstructures.yields.api import YieldTermStructure\n",
    "\n",
    "#indexes definition\n",
    "forecast_term_structure = YieldTermStructure()\n",
    "index = Euribor6M(forecast_term_structure)\n",
    "\n",
    "rmean = [hw.expectation(0., hw.x0, t) for t in T]\n",
    "\n",
    "# we add a fixing every 6 months\n",
    "for i in range(0, len(Dates), 2):\n",
    "    index.add_fixing(index.fixing_date(Dates[i]), rmean[i])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [],
   "source": [
    "#swap 1 definition\n",
    "maturity = Date(26, 12, 2018)\n",
    "fixed_schedule = Schedule.from_rule(start_date, maturity, Period(\"6M\"), TARGET(),\n",
    "                                    ModifiedFollowing, ModifiedFollowing, Rule.Forward,\n",
    "                                    False)\n",
    "floating_schedule = Schedule.from_rule(start_date, maturity, Period(\"6M\"),\n",
    "                                       TARGET(), ModifiedFollowing,\n",
    "                                       ModifiedFollowing, Rule.Forward, False)\n",
    "swap1 = VanillaSwap(Receiver, 10_000_000, fixed_schedule, 0.02, Actual360(),\n",
    "                    floating_schedule, index, 0, Actual360())  #0.01215\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "npvMat = np.empty((len(T), Nsim))\n",
    "\n",
    "discount_term_structure = YieldTermStructure()\n",
    "swapEngine = DiscountingSwapEngine(discount_term_structure)\n",
    "npvMat = np.empty((len(T), Nsim))\n",
    "swap1.set_pricing_engine(swapEngine)\n",
    "\n",
    "for i, d in enumerate(Dates):\n",
    "    Settings().evaluation_date = d\n",
    "    for n in range(Nsim):\n",
    "        crv = crvMat[i, n]\n",
    "        discount_term_structure.link_to(crv)\n",
    "        forecast_term_structure.link_to(crv)\n",
    "        npvMat[i, n] = swap1.npv"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "EE:\n",
      " [401670.1158 418836.1352 340293.5483 350128.0023 355742.385  301135.2662\n",
      " 235679.9031 249760.1162 243312.1597 199152.445  174698.3439 144657.1733\n",
      " 130173.2957 111075.2397  59332.7639  64612.5595  43032.7119  35243.9918\n",
      "      0.          0.          0.    ]\n",
      "\n",
      "rmean:\n",
      " [0.0038321783708768938, 0.0038447104458097666, 0.003878829192934586, 0.004304415296142585, 0.004854534792846587, 0.005486708976510404, 0.00618266474586651, 0.007652760916036794, 0.007726527486934385, 0.011583314187371059, 0.011655179426606066, 0.011724510502370677, 0.011790125103332274, 0.01767265729120667, 0.017732265414519513, 0.01778829449949869, 0.017840190647180572, 0.0227598814403213, 0.02280548353169784, 0.022847781363155784, 0.022886514765800076]\n"
     ]
    }
   ],
   "source": [
    "npv = npvMat[0,0]\n",
    "#replace negative values with 0\n",
    "npvMat[npvMat<0] = 0\n",
    "EE = np.mean(npvMat, axis=1)\n",
    "print('\\nEE:\\n', EE)\n",
    "#print '\\nrmat:\\n',rmat\n",
    "print('\\nrmean:\\n', rmean)\n",
    "#print '\\nrstd:\\n',rstd\n",
    "#print '\\n95% are in \\n',zip(rmean-2*rstd,rmean+2*rstd)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "npv= 401670.1157927497\n",
      "\n",
      "CVA= 40722.15743027281\n"
     ]
    }
   ],
   "source": [
    "# We use 5% for the credit spread and 40% for the recovery\n",
    "from math import exp\n",
    "S = 0.05\n",
    "R = 0.4\n",
    "r = 0\n",
    "for i in range(len(T)-1):\n",
    "    r += 0.5 * crvToday.discount(T[i+1]) * (EE[i] + EE[i+1]) * (exp(-S*T[i]/(1.0-R)) -exp(-S*T[i+1]/(1.0-R)))\n",
    "CVA = (1. - R) * r\n",
    "print(\"\\nnpv=\", npv)\n",
    "print(\"\\nCVA=\", CVA)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 800x500 with 1 Axes>"
      ]
     },
     "execution_count": 46,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "b6d7e2e772934950b2ae798e2aa737a6",
       "version_major": 2,
       "version_minor": 0
      },
      "image/png": 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",
      "text/html": [
       "\n",
       "            <div style=\"display: inline-block;\">\n",
       "                <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
       "                    Figure\n",
       "                </div>\n",
       "                <img src='' width=800.0/>\n",
       "            </div>\n",
       "        "
      ],
      "text/plain": [
       "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(8, 5))\n",
    "ax.plot(T, EE)\n",
    "ax.set_xlabel(\"Time in years\")\n",
    "ax.set_title('Expected Exposure')\n",
    "fig\n",
    "#plot(T,np.mean(rmat,axis=0))\n",
    "#plot(T,rmean)\n",
    "#plot(T,[npvMat[0,0]]*len(T))"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
